Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(4,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.h (of order \(50\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 125.4 |
Dual form | 125.2.h.a.94.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{50}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0569284 | − | 0.00358163i | −0.0402545 | − | 0.00253260i | 0.0426505 | − | 0.999090i | \(-0.486420\pi\) |
−0.0829050 | + | 0.996557i | \(0.526420\pi\) | |||||||
\(3\) | −1.13144 | − | 0.532413i | −0.653235 | − | 0.307389i | 0.0704545 | − | 0.997515i | \(-0.477555\pi\) |
−0.723689 | + | 0.690126i | \(0.757555\pi\) | |||||||
\(4\) | −1.98100 | − | 0.250259i | −0.990501 | − | 0.125129i | ||||
\(5\) | −1.71095 | + | 1.43967i | −0.765162 | + | 0.643838i | ||||
\(6\) | 0.0625039 | + | 0.0343618i | 0.0255171 | + | 0.0140282i | ||||
\(7\) | −1.60389 | + | 2.20757i | −0.606215 | + | 0.834383i | −0.996259 | − | 0.0864128i | \(-0.972460\pi\) |
0.390045 | + | 0.920796i | \(0.372460\pi\) | |||||||
\(8\) | 0.223940 | + | 0.0427189i | 0.0791748 | + | 0.0151034i | ||||
\(9\) | −0.915589 | − | 1.10676i | −0.305196 | − | 0.368919i | ||||
\(10\) | 0.102558 | − | 0.0758299i | 0.0324318 | − | 0.0239795i | ||||
\(11\) | −0.0160800 | + | 0.255585i | −0.00484831 | + | 0.0770617i | −0.999707 | − | 0.0242129i | \(-0.992292\pi\) |
0.994859 | + | 0.101275i | \(0.0322921\pi\) | |||||||
\(12\) | 2.10813 | + | 1.33786i | 0.608566 | + | 0.386208i | ||||
\(13\) | −1.44381 | + | 1.19442i | −0.400441 | + | 0.331273i | −0.815748 | − | 0.578408i | \(-0.803674\pi\) |
0.415307 | + | 0.909681i | \(0.363674\pi\) | |||||||
\(14\) | 0.0992139 | − | 0.119929i | 0.0265160 | − | 0.0320524i | ||||
\(15\) | 2.70233 | − | 0.717954i | 0.697739 | − | 0.185375i | ||||
\(16\) | 3.85543 | + | 0.989907i | 0.963859 | + | 0.247477i | ||||
\(17\) | −0.240997 | − | 1.90768i | −0.0584503 | − | 0.462681i | −0.993991 | − | 0.109462i | \(-0.965087\pi\) |
0.935541 | − | 0.353219i | \(-0.114913\pi\) | |||||||
\(18\) | 0.0481591 | + | 0.0662853i | 0.0113512 | + | 0.0156236i | ||||
\(19\) | −3.16804 | − | 6.73242i | −0.726798 | − | 1.54452i | −0.834911 | − | 0.550385i | \(-0.814481\pi\) |
0.108113 | − | 0.994139i | \(-0.465519\pi\) | |||||||
\(20\) | 3.74969 | − | 2.42380i | 0.838456 | − | 0.541978i | ||||
\(21\) | 2.99004 | − | 1.64379i | 0.652481 | − | 0.358704i | ||||
\(22\) | 0.00183082 | − | 0.0144924i | 0.000390332 | − | 0.00308980i | ||||
\(23\) | −2.60446 | + | 6.57810i | −0.543066 | + | 1.37163i | 0.356275 | + | 0.934381i | \(0.384047\pi\) |
−0.899341 | + | 0.437248i | \(0.855953\pi\) | |||||||
\(24\) | −0.230630 | − | 0.167562i | −0.0470771 | − | 0.0342035i | ||||
\(25\) | 0.854728 | − | 4.92640i | 0.170946 | − | 0.985280i | ||||
\(26\) | 0.0864718 | − | 0.0628255i | 0.0169585 | − | 0.0123211i | ||||
\(27\) | 1.37960 | + | 5.37317i | 0.265503 | + | 1.03407i | ||||
\(28\) | 3.72978 | − | 3.97181i | 0.704862 | − | 0.750602i | ||||
\(29\) | 4.44039 | + | 4.16980i | 0.824559 | + | 0.774313i | 0.976828 | − | 0.214026i | \(-0.0686579\pi\) |
−0.152269 | + | 0.988339i | \(0.548658\pi\) | |||||||
\(30\) | −0.156411 | + | 0.0311932i | −0.0285566 | + | 0.00569508i | ||||
\(31\) | −5.08031 | + | 0.641793i | −0.912451 | + | 0.115269i | −0.567521 | − | 0.823359i | \(-0.692097\pi\) |
−0.344930 | + | 0.938628i | \(0.612097\pi\) | |||||||
\(32\) | −0.649579 | − | 0.211061i | −0.114830 | − | 0.0373107i | ||||
\(33\) | 0.154270 | − | 0.280616i | 0.0268550 | − | 0.0488491i | ||||
\(34\) | 0.00688693 | + | 0.109465i | 0.00118110 | + | 0.0187730i | ||||
\(35\) | −0.433974 | − | 6.08612i | −0.0733550 | − | 1.02874i | ||||
\(36\) | 1.53681 | + | 2.42162i | 0.256135 | + | 0.403604i | ||||
\(37\) | −0.844229 | + | 3.28805i | −0.138790 | + | 0.540553i | 0.860715 | + | 0.509088i | \(0.170017\pi\) |
−0.999505 | + | 0.0314648i | \(0.989983\pi\) | |||||||
\(38\) | 0.156238 | + | 0.394613i | 0.0253452 | + | 0.0640147i | ||||
\(39\) | 2.26950 | − | 0.582710i | 0.363412 | − | 0.0933082i | ||||
\(40\) | −0.444652 | + | 0.249309i | −0.0703057 | + | 0.0394192i | ||||
\(41\) | 6.96199 | − | 2.75645i | 1.08728 | − | 0.430485i | 0.244999 | − | 0.969523i | \(-0.421212\pi\) |
0.842281 | + | 0.539039i | \(0.181212\pi\) | |||||||
\(42\) | −0.176106 | + | 0.0828691i | −0.0271737 | + | 0.0127870i | ||||
\(43\) | −11.3234 | + | 3.67919i | −1.72680 | + | 0.561072i | −0.992981 | − | 0.118273i | \(-0.962264\pi\) |
−0.733820 | + | 0.679344i | \(0.762264\pi\) | |||||||
\(44\) | 0.0958169 | − | 0.502290i | 0.0144449 | − | 0.0757230i | ||||
\(45\) | 3.15989 | + | 0.575469i | 0.471049 | + | 0.0857858i | ||||
\(46\) | 0.171828 | − | 0.365153i | 0.0253346 | − | 0.0538389i | ||||
\(47\) | 2.21374 | − | 0.422293i | 0.322907 | − | 0.0615978i | −0.0233793 | − | 0.999727i | \(-0.507443\pi\) |
0.346286 | + | 0.938129i | \(0.387443\pi\) | |||||||
\(48\) | −3.83514 | − | 3.17270i | −0.553554 | − | 0.457940i | ||||
\(49\) | −0.137773 | − | 0.424022i | −0.0196819 | − | 0.0605746i | ||||
\(50\) | −0.0663029 | + | 0.277391i | −0.00937664 | + | 0.0392290i | ||||
\(51\) | −0.743004 | + | 2.28673i | −0.104041 | + | 0.320207i | ||||
\(52\) | 3.15910 | − | 2.00483i | 0.438089 | − | 0.278020i | ||||
\(53\) | −0.891889 | − | 1.62234i | −0.122510 | − | 0.222846i | 0.807939 | − | 0.589266i | \(-0.200583\pi\) |
−0.930449 | + | 0.366421i | \(0.880583\pi\) | |||||||
\(54\) | −0.0592935 | − | 0.310828i | −0.00806883 | − | 0.0422983i | ||||
\(55\) | −0.340444 | − | 0.460444i | −0.0459055 | − | 0.0620862i | ||||
\(56\) | −0.453481 | + | 0.425847i | −0.0605990 | + | 0.0569062i | ||||
\(57\) | 9.30401i | 1.23235i | ||||||||
\(58\) | −0.237850 | − | 0.253284i | −0.0312312 | − | 0.0332578i | ||||
\(59\) | −4.83813 | + | 7.62368i | −0.629871 | + | 0.992519i | 0.368158 | + | 0.929763i | \(0.379989\pi\) |
−0.998029 | + | 0.0627551i | \(0.980011\pi\) | |||||||
\(60\) | −5.53300 | + | 0.745986i | −0.714307 | + | 0.0963064i | ||||
\(61\) | −9.93892 | − | 3.93510i | −1.27255 | − | 0.503837i | −0.367848 | − | 0.929886i | \(-0.619905\pi\) |
−0.904700 | + | 0.426049i | \(0.859905\pi\) | |||||||
\(62\) | 0.291513 | − | 0.0183404i | 0.0370222 | − | 0.00232924i | ||||
\(63\) | 3.91175 | − | 0.246107i | 0.492834 | − | 0.0310065i | ||||
\(64\) | −7.36571 | − | 2.91629i | −0.920713 | − | 0.364536i | ||||
\(65\) | 0.750723 | − | 4.12221i | 0.0931157 | − | 0.511297i | ||||
\(66\) | −0.00978743 | + | 0.0154225i | −0.00120475 | + | 0.00189838i | ||||
\(67\) | −6.13023 | − | 6.52803i | −0.748926 | − | 0.797526i | 0.235769 | − | 0.971809i | \(-0.424239\pi\) |
−0.984696 | + | 0.174284i | \(0.944239\pi\) | |||||||
\(68\) | 3.83944i | 0.465600i | ||||||||
\(69\) | 6.44904 | − | 6.05605i | 0.776373 | − | 0.729063i | ||||
\(70\) | 0.00290719 | + | 0.348028i | 0.000347475 | + | 0.0415973i | ||||
\(71\) | 0.608239 | + | 3.18850i | 0.0721847 | + | 0.378405i | 0.999986 | + | 0.00533023i | \(0.00169667\pi\) |
−0.927801 | + | 0.373075i | \(0.878303\pi\) | |||||||
\(72\) | −0.157758 | − | 0.286960i | −0.0185919 | − | 0.0338186i | ||||
\(73\) | 4.08514 | − | 2.59251i | 0.478130 | − | 0.303430i | −0.274835 | − | 0.961491i | \(-0.588623\pi\) |
0.752965 | + | 0.658061i | \(0.228623\pi\) | |||||||
\(74\) | 0.0598372 | − | 0.184160i | 0.00695594 | − | 0.0214082i | ||||
\(75\) | −3.58995 | + | 5.11884i | −0.414532 | + | 0.591073i | ||||
\(76\) | 4.59104 | + | 14.1298i | 0.526628 | + | 1.62080i | ||||
\(77\) | −0.538431 | − | 0.445429i | −0.0613599 | − | 0.0507613i | ||||
\(78\) | −0.131286 | + | 0.0250442i | −0.0148653 | + | 0.00283570i | ||||
\(79\) | −1.32488 | + | 2.81551i | −0.149061 | + | 0.316770i | −0.965387 | − | 0.260820i | \(-0.916007\pi\) |
0.816327 | + | 0.577590i | \(0.196007\pi\) | |||||||
\(80\) | −8.02161 | + | 3.85685i | −0.896843 | + | 0.431209i | ||||
\(81\) | 0.492366 | − | 2.58107i | 0.0547074 | − | 0.286786i | ||||
\(82\) | −0.406208 | + | 0.131985i | −0.0448581 | + | 0.0145753i | ||||
\(83\) | 1.48314 | − | 0.697911i | 0.162795 | − | 0.0766057i | −0.342655 | − | 0.939461i | \(-0.611326\pi\) |
0.505451 | + | 0.862856i | \(0.331326\pi\) | |||||||
\(84\) | −6.33465 | + | 2.50807i | −0.691167 | + | 0.273652i | ||||
\(85\) | 3.15876 | + | 2.91701i | 0.342616 | + | 0.316394i | ||||
\(86\) | 0.657800 | − | 0.168894i | 0.0709324 | − | 0.0182124i | ||||
\(87\) | −2.80396 | − | 7.08198i | −0.300616 | − | 0.759268i | ||||
\(88\) | −0.0145193 | + | 0.0565488i | −0.00154776 | + | 0.00602812i | ||||
\(89\) | 0.446541 | + | 0.703635i | 0.0473332 | + | 0.0745852i | 0.867171 | − | 0.498011i | \(-0.165936\pi\) |
−0.819837 | + | 0.572596i | \(0.805936\pi\) | |||||||
\(90\) | −0.177827 | − | 0.0440781i | −0.0187446 | − | 0.00464624i | ||||
\(91\) | −0.321056 | − | 5.10304i | −0.0336558 | − | 0.534944i | ||||
\(92\) | 6.80566 | − | 12.3794i | 0.709539 | − | 1.29065i | ||||
\(93\) | 6.08974 | + | 1.97868i | 0.631477 | + | 0.205179i | ||||
\(94\) | −0.127537 | + | 0.0161117i | −0.0131545 | + | 0.00166179i | ||||
\(95\) | 15.1128 | + | 6.95795i | 1.55054 | + | 0.713871i | ||||
\(96\) | 0.622585 | + | 0.584646i | 0.0635423 | + | 0.0596702i | ||||
\(97\) | 2.44001 | − | 2.59835i | 0.247746 | − | 0.263823i | −0.593061 | − | 0.805157i | \(-0.702081\pi\) |
0.840807 | + | 0.541335i | \(0.182081\pi\) | |||||||
\(98\) | 0.00632452 | + | 0.0246324i | 0.000638873 | + | 0.00248825i | ||||
\(99\) | 0.297593 | − | 0.216214i | 0.0299092 | − | 0.0217303i | ||||
\(100\) | −2.92609 | + | 9.54531i | −0.292609 | + | 0.954531i | ||||
\(101\) | −8.07609 | − | 5.86762i | −0.803601 | − | 0.583850i | 0.108367 | − | 0.994111i | \(-0.465438\pi\) |
−0.911968 | + | 0.410261i | \(0.865438\pi\) | |||||||
\(102\) | 0.0504883 | − | 0.127519i | 0.00499909 | − | 0.0126263i | ||||
\(103\) | 1.26692 | − | 10.0287i | 0.124833 | − | 0.988159i | −0.797919 | − | 0.602765i | \(-0.794066\pi\) |
0.922752 | − | 0.385394i | \(-0.125934\pi\) | |||||||
\(104\) | −0.374352 | + | 0.205802i | −0.0367082 | + | 0.0201805i | ||||
\(105\) | −2.74932 | + | 7.11711i | −0.268306 | + | 0.694559i | ||||
\(106\) | 0.0449632 | + | 0.0955517i | 0.00436721 | + | 0.00928080i | ||||
\(107\) | 0.233387 | + | 0.321230i | 0.0225624 | + | 0.0310544i | 0.820149 | − | 0.572150i | \(-0.193890\pi\) |
−0.797587 | + | 0.603204i | \(0.793890\pi\) | |||||||
\(108\) | −1.38830 | − | 10.9895i | −0.133589 | − | 1.05747i | ||||
\(109\) | 1.69248 | + | 0.434555i | 0.162110 | + | 0.0416228i | 0.328873 | − | 0.944374i | \(-0.393331\pi\) |
−0.166762 | + | 0.985997i | \(0.553331\pi\) | |||||||
\(110\) | 0.0177318 | + | 0.0274317i | 0.00169066 | + | 0.00261551i | ||||
\(111\) | 2.70579 | − | 3.27074i | 0.256823 | − | 0.310445i | ||||
\(112\) | −8.36900 | + | 6.92344i | −0.790796 | + | 0.654203i | ||||
\(113\) | 17.1647 | + | 10.8930i | 1.61472 | + | 1.02473i | 0.964178 | + | 0.265257i | \(0.0854567\pi\) |
0.650538 | + | 0.759473i | \(0.274543\pi\) | |||||||
\(114\) | 0.0333235 | − | 0.529663i | 0.00312104 | − | 0.0496075i | ||||
\(115\) | −5.01416 | − | 15.0044i | −0.467573 | − | 1.39917i | ||||
\(116\) | −7.75289 | − | 9.37163i | −0.719837 | − | 0.870134i | ||||
\(117\) | 2.64387 | + | 0.504346i | 0.244426 | + | 0.0466268i | ||||
\(118\) | 0.302733 | − | 0.416676i | 0.0278688 | − | 0.0383581i | ||||
\(119\) | 4.59788 | + | 2.52771i | 0.421487 | + | 0.231714i | ||||
\(120\) | 0.635831 | − | 0.0453382i | 0.0580432 | − | 0.00413879i | ||||
\(121\) | 10.8482 | + | 1.37045i | 0.986200 | + | 0.124586i | ||||
\(122\) | 0.551713 | + | 0.259616i | 0.0499497 | + | 0.0235046i | ||||
\(123\) | −9.34461 | − | 0.587913i | −0.842575 | − | 0.0530103i | ||||
\(124\) | 10.2247 | 0.918207 | ||||||||
\(125\) | 5.62997 | + | 9.65937i | 0.503560 | + | 0.863960i | ||||
\(126\) | −0.223571 | −0.0199173 | ||||||||
\(127\) | 11.2504 | + | 0.707815i | 0.998311 | + | 0.0628084i | 0.553528 | − | 0.832830i | \(-0.313281\pi\) |
0.444782 | + | 0.895639i | \(0.353281\pi\) | |||||||
\(128\) | 1.64488 | + | 0.774022i | 0.145388 | + | 0.0684145i | ||||
\(129\) | 14.7705 | + | 1.86595i | 1.30047 | + | 0.164288i | ||||
\(130\) | −0.0575017 | + | 0.231982i | −0.00504323 | + | 0.0203462i | ||||
\(131\) | −5.44841 | − | 2.99529i | −0.476030 | − | 0.261700i | 0.225628 | − | 0.974214i | \(-0.427557\pi\) |
−0.701658 | + | 0.712514i | \(0.747557\pi\) | |||||||
\(132\) | −0.375836 | + | 0.517294i | −0.0327123 | + | 0.0450247i | ||||
\(133\) | 19.9435 | + | 3.80443i | 1.72932 | + | 0.329886i | ||||
\(134\) | 0.325603 | + | 0.393587i | 0.0281278 | + | 0.0340007i | ||||
\(135\) | −10.0960 | − | 7.20710i | −0.868925 | − | 0.620288i | ||||
\(136\) | 0.0275253 | − | 0.437502i | 0.00236028 | − | 0.0375155i | ||||
\(137\) | −18.1323 | − | 11.5071i | −1.54915 | − | 0.983118i | −0.987834 | − | 0.155514i | \(-0.950297\pi\) |
−0.561312 | − | 0.827604i | \(-0.689703\pi\) | |||||||
\(138\) | −0.388824 | + | 0.321664i | −0.0330989 | + | 0.0273818i | ||||
\(139\) | 2.29472 | − | 2.77384i | 0.194636 | − | 0.235274i | −0.664162 | − | 0.747588i | \(-0.731212\pi\) |
0.858798 | + | 0.512314i | \(0.171212\pi\) | |||||||
\(140\) | −0.663402 | + | 12.1652i | −0.0560677 | + | 1.02815i | ||||
\(141\) | −2.72954 | − | 0.700826i | −0.229869 | − | 0.0590202i | ||||
\(142\) | −0.0232061 | − | 0.183695i | −0.00194741 | − | 0.0154153i | ||||
\(143\) | −0.282060 | − | 0.388222i | −0.0235870 | − | 0.0324648i | ||||
\(144\) | −2.43441 | − | 5.17338i | −0.202867 | − | 0.431115i | ||||
\(145\) | −13.6004 | − | 0.741667i | −1.12945 | − | 0.0615921i | ||||
\(146\) | −0.241846 | + | 0.132956i | −0.0200153 | + | 0.0110035i | ||||
\(147\) | −0.0698736 | + | 0.553106i | −0.00576307 | + | 0.0456194i | ||||
\(148\) | 2.49528 | − | 6.30236i | 0.205111 | − | 0.518051i | ||||
\(149\) | 17.3650 | + | 12.6164i | 1.42259 | + | 1.03357i | 0.991337 | + | 0.131344i | \(0.0419292\pi\) |
0.431255 | + | 0.902230i | \(0.358071\pi\) | |||||||
\(150\) | 0.222704 | − | 0.278550i | 0.0181837 | − | 0.0227435i | ||||
\(151\) | −6.49174 | + | 4.71653i | −0.528290 | + | 0.383825i | −0.819718 | − | 0.572767i | \(-0.805870\pi\) |
0.291427 | + | 0.956593i | \(0.405870\pi\) | |||||||
\(152\) | −0.421850 | − | 1.64300i | −0.0342165 | − | 0.133265i | ||||
\(153\) | −1.89069 | + | 2.01338i | −0.152853 | + | 0.162772i | ||||
\(154\) | 0.0290567 | + | 0.0272860i | 0.00234145 | + | 0.00219877i | ||||
\(155\) | 7.76821 | − | 8.41203i | 0.623958 | − | 0.675670i | ||||
\(156\) | −4.64172 | + | 0.586386i | −0.371635 | + | 0.0469484i | ||||
\(157\) | −9.11159 | − | 2.96054i | −0.727184 | − | 0.236276i | −0.0780490 | − | 0.996950i | \(-0.524869\pi\) |
−0.649135 | + | 0.760673i | \(0.724869\pi\) | |||||||
\(158\) | 0.0855075 | − | 0.155538i | 0.00680261 | − | 0.0123739i | ||||
\(159\) | 0.145360 | + | 2.31043i | 0.0115278 | + | 0.183229i | ||||
\(160\) | 1.41526 | − | 0.574061i | 0.111886 | − | 0.0453835i | ||||
\(161\) | −10.3444 | − | 16.3001i | −0.815250 | − | 1.28463i | ||||
\(162\) | −0.0372741 | + | 0.145173i | −0.00292853 | + | 0.0114059i | ||||
\(163\) | 1.29547 | + | 3.27197i | 0.101469 | + | 0.256281i | 0.971638 | − | 0.236471i | \(-0.0759909\pi\) |
−0.870170 | + | 0.492752i | \(0.835991\pi\) | |||||||
\(164\) | −14.4815 | + | 3.71823i | −1.13082 | + | 0.290345i | ||||
\(165\) | 0.140045 | + | 0.702219i | 0.0109025 | + | 0.0546677i | ||||
\(166\) | −0.0869323 | + | 0.0344189i | −0.00674726 | + | 0.00267143i | ||||
\(167\) | −21.9735 | + | 10.3399i | −1.70036 | + | 0.800127i | −0.704449 | + | 0.709755i | \(0.748806\pi\) |
−0.995908 | + | 0.0903727i | \(0.971194\pi\) | |||||||
\(168\) | 0.739812 | − | 0.240379i | 0.0570777 | − | 0.0185457i | ||||
\(169\) | −1.77802 | + | 9.32069i | −0.136771 | + | 0.716976i | ||||
\(170\) | −0.169376 | − | 0.177374i | −0.0129905 | − | 0.0136040i | ||||
\(171\) | −4.55054 | + | 9.67038i | −0.347988 | + | 0.739513i | ||||
\(172\) | 23.3524 | − | 4.45471i | 1.78060 | − | 0.339668i | ||||
\(173\) | −12.2842 | − | 10.1623i | −0.933947 | − | 0.772628i | 0.0400481 | − | 0.999198i | \(-0.487249\pi\) |
−0.973995 | + | 0.226570i | \(0.927249\pi\) | |||||||
\(174\) | 0.134260 | + | 0.413209i | 0.0101782 | + | 0.0313253i | ||||
\(175\) | 9.50449 | + | 9.78830i | 0.718472 | + | 0.739926i | ||||
\(176\) | −0.315001 | + | 0.969472i | −0.0237441 | + | 0.0730767i | ||||
\(177\) | 9.53298 | − | 6.04982i | 0.716543 | − | 0.454732i | ||||
\(178\) | −0.0229007 | − | 0.0416562i | −0.00171648 | − | 0.00312226i | ||||
\(179\) | 2.56377 | + | 13.4398i | 0.191625 | + | 1.00454i | 0.939978 | + | 0.341235i | \(0.110845\pi\) |
−0.748353 | + | 0.663301i | \(0.769155\pi\) | |||||||
\(180\) | −6.11573 | − | 1.93079i | −0.455840 | − | 0.143913i | ||||
\(181\) | −11.7430 | + | 11.0274i | −0.872853 | + | 0.819664i | −0.984735 | − | 0.174058i | \(-0.944312\pi\) |
0.111882 | + | 0.993721i | \(0.464312\pi\) | |||||||
\(182\) | 0.291658i | 0.0216191i | ||||||||
\(183\) | 9.15015 | + | 9.74392i | 0.676398 | + | 0.720291i | ||||
\(184\) | −0.864252 | + | 1.36184i | −0.0637135 | + | 0.100396i | ||||
\(185\) | −3.28926 | − | 6.84112i | −0.241831 | − | 0.502969i | ||||
\(186\) | −0.339593 | − | 0.134454i | −0.0249001 | − | 0.00985866i | ||||
\(187\) | 0.491450 | − | 0.0309194i | 0.0359384 | − | 0.00226105i | ||||
\(188\) | −4.49110 | + | 0.282556i | −0.327547 | + | 0.0206075i | ||||
\(189\) | −14.0744 | − | 5.57244i | −1.02376 | − | 0.405336i | ||||
\(190\) | −0.835427 | − | 0.450234i | −0.0606083 | − | 0.0326634i | ||||
\(191\) | 2.23195 | − | 3.51699i | 0.161498 | − | 0.254481i | −0.753936 | − | 0.656948i | \(-0.771847\pi\) |
0.915434 | + | 0.402467i | \(0.131847\pi\) | |||||||
\(192\) | 6.78115 | + | 7.22119i | 0.489387 | + | 0.521145i | ||||
\(193\) | 6.47097i | 0.465790i | 0.972502 | + | 0.232895i | \(0.0748199\pi\) | ||||
−0.972502 | + | 0.232895i | \(0.925180\pi\) | |||||||
\(194\) | −0.148213 | + | 0.139181i | −0.0106410 | + | 0.00999260i | ||||
\(195\) | −3.04411 | + | 4.26432i | −0.217993 | + | 0.305374i | ||||
\(196\) | 0.166814 | + | 0.874468i | 0.0119153 | + | 0.0624620i | ||||
\(197\) | −9.21307 | − | 16.7585i | −0.656404 | − | 1.19400i | −0.969691 | − | 0.244336i | \(-0.921430\pi\) |
0.313286 | − | 0.949659i | \(-0.398570\pi\) | |||||||
\(198\) | −0.0177159 | + | 0.0112429i | −0.00125901 | + | 0.000798995i | ||||
\(199\) | 6.01136 | − | 18.5011i | 0.426134 | − | 1.31151i | −0.475770 | − | 0.879570i | \(-0.657830\pi\) |
0.901904 | − | 0.431937i | \(-0.142170\pi\) | |||||||
\(200\) | 0.401858 | − | 1.06671i | 0.0284157 | − | 0.0754276i | ||||
\(201\) | 3.46035 | + | 10.6499i | 0.244074 | + | 0.751183i | ||||
\(202\) | 0.438744 | + | 0.362960i | 0.0308699 | + | 0.0255378i | ||||
\(203\) | −16.3270 | + | 3.11455i | −1.14593 | + | 0.218599i | ||||
\(204\) | 2.04417 | − | 4.34408i | 0.143120 | − | 0.304146i | ||||
\(205\) | −7.94328 | + | 14.7391i | −0.554783 | + | 1.02942i | ||||
\(206\) | −0.108043 | + | 0.566381i | −0.00752771 | + | 0.0394617i | ||||
\(207\) | 9.66497 | − | 3.14034i | 0.671762 | − | 0.218269i | ||||
\(208\) | −6.74888 | + | 3.17578i | −0.467951 | + | 0.220201i | ||||
\(209\) | 1.77165 | − | 0.701445i | 0.122547 | − | 0.0485199i | ||||
\(210\) | 0.182005 | − | 0.395319i | 0.0125596 | − | 0.0272796i | ||||
\(211\) | −7.10853 | + | 1.82516i | −0.489372 | + | 0.125649i | −0.485309 | − | 0.874342i | \(-0.661293\pi\) |
−0.00406223 | + | 0.999992i | \(0.501293\pi\) | |||||||
\(212\) | 1.36083 | + | 3.43706i | 0.0934621 | + | 0.236058i | ||||
\(213\) | 1.00942 | − | 3.93142i | 0.0691641 | − | 0.269376i | ||||
\(214\) | −0.0121358 | − | 0.0191230i | −0.000829588 | − | 0.00130722i | ||||
\(215\) | 14.0770 | − | 22.5968i | 0.960043 | − | 1.54109i | ||||
\(216\) | 0.0794112 | + | 1.26220i | 0.00540325 | + | 0.0858821i | ||||
\(217\) | 6.73148 | − | 12.2445i | 0.456963 | − | 0.831212i | ||||
\(218\) | −0.0947938 | − | 0.0308004i | −0.00642025 | − | 0.00208607i | ||||
\(219\) | −6.00236 | + | 0.758275i | −0.405602 | + | 0.0512395i | ||||
\(220\) | 0.559191 | + | 0.997339i | 0.0377006 | + | 0.0672406i | ||||
\(221\) | 2.62654 | + | 2.46648i | 0.176680 | + | 0.165914i | ||||
\(222\) | −0.165751 | + | 0.176507i | −0.0111245 | + | 0.0118464i | ||||
\(223\) | −1.03745 | − | 4.04059i | −0.0694725 | − | 0.270578i | 0.924352 | − | 0.381541i | \(-0.124606\pi\) |
−0.993825 | + | 0.110963i | \(0.964606\pi\) | |||||||
\(224\) | 1.50779 | − | 1.09547i | 0.100743 | − | 0.0731943i | ||||
\(225\) | −6.23491 | + | 3.56458i | −0.415661 | + | 0.237639i | ||||
\(226\) | −0.938143 | − | 0.681601i | −0.0624043 | − | 0.0453394i | ||||
\(227\) | −6.80720 | + | 17.1930i | −0.451810 | + | 1.14114i | 0.508216 | + | 0.861230i | \(0.330305\pi\) |
−0.960026 | + | 0.279912i | \(0.909695\pi\) | |||||||
\(228\) | 2.32841 | − | 18.4313i | 0.154203 | − | 1.22064i | ||||
\(229\) | −19.1031 | + | 10.5020i | −1.26237 | + | 0.693994i | −0.965370 | − | 0.260883i | \(-0.915986\pi\) |
−0.297001 | + | 0.954877i | \(0.595986\pi\) | |||||||
\(230\) | 0.231708 | + | 0.872134i | 0.0152784 | + | 0.0575068i | ||||
\(231\) | 0.372048 | + | 0.790641i | 0.0244789 | + | 0.0520204i | ||||
\(232\) | 0.816252 | + | 1.12347i | 0.0535896 | + | 0.0737597i | ||||
\(233\) | −0.658712 | − | 5.21425i | −0.0431537 | − | 0.341597i | −0.998879 | − | 0.0473363i | \(-0.984927\pi\) |
0.955725 | − | 0.294260i | \(-0.0950732\pi\) | |||||||
\(234\) | −0.148705 | − | 0.0381810i | −0.00972116 | − | 0.00249597i | ||||
\(235\) | −3.17965 | + | 3.90957i | −0.207417 | + | 0.255032i | ||||
\(236\) | 11.4922 | − | 13.8917i | 0.748081 | − | 0.904275i | ||||
\(237\) | 2.99803 | − | 2.48019i | 0.194743 | − | 0.161106i | ||||
\(238\) | −0.252697 | − | 0.160366i | −0.0163799 | − | 0.0103950i | ||||
\(239\) | −0.165781 | + | 2.63501i | −0.0107235 | + | 0.170444i | 0.989020 | + | 0.147783i | \(0.0472138\pi\) |
−0.999743 | + | 0.0226610i | \(0.992786\pi\) | |||||||
\(240\) | 11.1294 | − | 0.0929671i | 0.718398 | − | 0.00600100i | ||||
\(241\) | 7.91147 | + | 9.56333i | 0.509623 | + | 0.616028i | 0.961082 | − | 0.276264i | \(-0.0890963\pi\) |
−0.451459 | + | 0.892292i | \(0.649096\pi\) | |||||||
\(242\) | −0.612662 | − | 0.116872i | −0.0393834 | − | 0.00751279i | ||||
\(243\) | 7.85086 | − | 10.8058i | 0.503633 | − | 0.693191i | ||||
\(244\) | 18.7042 | + | 10.2827i | 1.19741 | + | 0.658284i | ||||
\(245\) | 0.846174 | + | 0.527135i | 0.0540601 | + | 0.0336774i | ||||
\(246\) | 0.529868 | + | 0.0669379i | 0.0337832 | + | 0.00426781i | ||||
\(247\) | 12.6154 | + | 5.93636i | 0.802699 | + | 0.377722i | ||||
\(248\) | −1.16510 | − | 0.0733021i | −0.0739841 | − | 0.00465469i | ||||
\(249\) | −2.04965 | −0.129891 | ||||||||
\(250\) | −0.285909 | − | 0.570057i | −0.0180825 | − | 0.0360536i | ||||
\(251\) | 25.8593 | 1.63223 | 0.816113 | − | 0.577892i | \(-0.196124\pi\) | ||||
0.816113 | + | 0.577892i | \(0.196124\pi\) | |||||||
\(252\) | −7.81078 | − | 0.491412i | −0.492033 | − | 0.0309561i | ||||
\(253\) | −1.63938 | − | 0.771435i | −0.103067 | − | 0.0484997i | ||||
\(254\) | −0.637932 | − | 0.0805895i | −0.0400274 | − | 0.00505664i | ||||
\(255\) | −2.02088 | − | 4.98217i | −0.126553 | − | 0.311996i | ||||
\(256\) | 13.7934 | + | 7.58297i | 0.862085 | + | 0.473935i | ||||
\(257\) | 1.10199 | − | 1.51676i | 0.0687404 | − | 0.0946131i | −0.773263 | − | 0.634086i | \(-0.781376\pi\) |
0.842003 | + | 0.539473i | \(0.181376\pi\) | |||||||
\(258\) | −0.834180 | − | 0.159128i | −0.0519338 | − | 0.00990690i | ||||
\(259\) | −5.90456 | − | 7.13738i | −0.366891 | − | 0.443495i | ||||
\(260\) | −2.51880 | + | 7.97822i | −0.156209 | + | 0.494788i | ||||
\(261\) | 0.549387 | − | 8.73226i | 0.0340062 | − | 0.540513i | ||||
\(262\) | 0.299442 | + | 0.190031i | 0.0184996 | + | 0.0117402i | ||||
\(263\) | −12.4215 | + | 10.2759i | −0.765942 | + | 0.633642i | −0.936084 | − | 0.351777i | \(-0.885577\pi\) |
0.170142 | + | 0.985420i | \(0.445577\pi\) | |||||||
\(264\) | 0.0465349 | − | 0.0562511i | 0.00286403 | − | 0.00346201i | ||||
\(265\) | 3.86161 | + | 1.49173i | 0.237217 | + | 0.0916361i | ||||
\(266\) | −1.12173 | − | 0.288010i | −0.0687774 | − | 0.0176590i | ||||
\(267\) | −0.130607 | − | 1.03386i | −0.00799303 | − | 0.0632713i | ||||
\(268\) | 10.5103 | + | 14.4662i | 0.642018 | + | 0.883662i | ||||
\(269\) | −11.6476 | − | 24.7525i | −0.710170 | − | 1.50919i | −0.854385 | − | 0.519641i | \(-0.826066\pi\) |
0.144215 | − | 0.989546i | \(-0.453934\pi\) | |||||||
\(270\) | 0.548936 | + | 0.446449i | 0.0334072 | + | 0.0271700i | ||||
\(271\) | 9.95629 | − | 5.47352i | 0.604802 | − | 0.332493i | −0.149759 | − | 0.988722i | \(-0.547850\pi\) |
0.754561 | + | 0.656230i | \(0.227850\pi\) | |||||||
\(272\) | 0.959284 | − | 7.59352i | 0.0581651 | − | 0.460425i | ||||
\(273\) | −2.35367 | + | 5.94470i | −0.142451 | + | 0.359789i | ||||
\(274\) | 0.991029 | + | 0.720024i | 0.0598702 | + | 0.0434983i | ||||
\(275\) | 1.24537 | + | 0.297672i | 0.0750986 | + | 0.0179503i | ||||
\(276\) | −14.2911 | + | 10.3831i | −0.860226 | + | 0.624991i | ||||
\(277\) | 5.10826 | + | 19.8954i | 0.306926 | + | 1.19540i | 0.915638 | + | 0.402005i | \(0.131686\pi\) |
−0.608712 | + | 0.793391i | \(0.708314\pi\) | |||||||
\(278\) | −0.140570 | + | 0.149692i | −0.00843082 | + | 0.00897791i | ||||
\(279\) | 5.36179 | + | 5.03505i | 0.321002 | + | 0.301441i | ||||
\(280\) | 0.162808 | − | 1.38147i | 0.00972965 | − | 0.0825584i | ||||
\(281\) | 0.0411041 | − | 0.00519265i | 0.00245206 | − | 0.000309768i | −0.124107 | − | 0.992269i | \(-0.539607\pi\) |
0.126559 | + | 0.991959i | \(0.459607\pi\) | |||||||
\(282\) | 0.152878 | + | 0.0496732i | 0.00910377 | + | 0.00295799i | ||||
\(283\) | 4.21172 | − | 7.66109i | 0.250361 | − | 0.455404i | −0.721026 | − | 0.692908i | \(-0.756329\pi\) |
0.971387 | + | 0.237504i | \(0.0763292\pi\) | |||||||
\(284\) | −0.406972 | − | 6.46864i | −0.0241494 | − | 0.383843i | ||||
\(285\) | −13.3947 | − | 15.9187i | −0.793431 | − | 0.942944i | ||||
\(286\) | 0.0146668 | + | 0.0231111i | 0.000867264 | + | 0.00136659i | ||||
\(287\) | −5.08124 | + | 19.7901i | −0.299936 | + | 1.16817i | ||||
\(288\) | 0.361154 | + | 0.912171i | 0.0212812 | + | 0.0537502i | ||||
\(289\) | 12.8847 | − | 3.30824i | 0.757925 | − | 0.194602i | ||||
\(290\) | 0.771594 | + | 0.0909337i | 0.0453096 | + | 0.00533981i | ||||
\(291\) | −4.14412 | + | 1.64077i | −0.242932 | + | 0.0961837i | ||||
\(292\) | −8.74147 | + | 4.11342i | −0.511556 | + | 0.240720i | ||||
\(293\) | −9.60613 | + | 3.12122i | −0.561196 | + | 0.182344i | −0.575859 | − | 0.817549i | \(-0.695332\pi\) |
0.0146633 | + | 0.999892i | \(0.495332\pi\) | |||||||
\(294\) | 0.00595881 | − | 0.0312372i | 0.000347525 | − | 0.00182179i | ||||
\(295\) | −2.69772 | − | 20.0091i | −0.157067 | − | 1.16497i | ||||
\(296\) | −0.329519 | + | 0.700263i | −0.0191529 | + | 0.0407020i | ||||
\(297\) | −1.39549 | + | 0.266203i | −0.0809743 | + | 0.0154467i | ||||
\(298\) | −0.943372 | − | 0.780425i | −0.0546481 | − | 0.0452088i | ||||
\(299\) | −4.09670 | − | 12.6084i | −0.236918 | − | 0.729160i | ||||
\(300\) | 8.39273 | − | 9.24201i | 0.484555 | − | 0.533588i | ||||
\(301\) | 10.0394 | − | 30.8982i | 0.578664 | − | 1.78094i | ||||
\(302\) | 0.386457 | − | 0.245253i | 0.0222381 | − | 0.0141127i | ||||
\(303\) | 6.01358 | + | 10.9387i | 0.345471 | + | 0.628409i | ||||
\(304\) | −5.54969 | − | 29.0925i | −0.318296 | − | 1.66857i | ||||
\(305\) | 22.6703 | − | 7.57595i | 1.29809 | − | 0.433797i | ||||
\(306\) | 0.114845 | − | 0.107847i | 0.00656526 | − | 0.00616519i | ||||
\(307\) | 22.2509i | 1.26993i | 0.772542 | + | 0.634964i | \(0.218985\pi\) | ||||
−0.772542 | + | 0.634964i | \(0.781015\pi\) | |||||||
\(308\) | 0.955160 | + | 1.01714i | 0.0544253 | + | 0.0579570i | ||||
\(309\) | −6.77286 | + | 10.6723i | −0.385295 | + | 0.607127i | ||||
\(310\) | −0.472361 | + | 0.451061i | −0.0268283 | + | 0.0256185i | ||||
\(311\) | 17.3060 | + | 6.85194i | 0.981334 | + | 0.388538i | 0.803357 | − | 0.595497i | \(-0.203045\pi\) |
0.177977 | + | 0.984035i | \(0.443045\pi\) | |||||||
\(312\) | 0.533126 | − | 0.0335415i | 0.0301823 | − | 0.00189891i | ||||
\(313\) | 3.77421 | − | 0.237453i | 0.213331 | − | 0.0134216i | 0.0442345 | − | 0.999021i | \(-0.485915\pi\) |
0.169096 | + | 0.985600i | \(0.445915\pi\) | |||||||
\(314\) | 0.508105 | + | 0.201173i | 0.0286740 | + | 0.0113529i | ||||
\(315\) | −6.33852 | + | 6.05269i | −0.357135 | + | 0.341031i | ||||
\(316\) | 3.32920 | − | 5.24597i | 0.187282 | − | 0.295109i | ||||
\(317\) | 6.81486 | + | 7.25709i | 0.382761 | + | 0.407599i | 0.891281 | − | 0.453451i | \(-0.149807\pi\) |
−0.508520 | + | 0.861050i | \(0.669807\pi\) | |||||||
\(318\) | − | 0.132050i | − | 0.00740497i | ||||||
\(319\) | −1.13714 | + | 1.06784i | −0.0636676 | + | 0.0597878i | ||||
\(320\) | 16.8009 | − | 5.61451i | 0.939197 | − | 0.313861i | ||||
\(321\) | −0.0930354 | − | 0.487709i | −0.00519273 | − | 0.0272213i | ||||
\(322\) | 0.530507 | + | 0.964989i | 0.0295640 | + | 0.0537767i | ||||
\(323\) | −12.0799 | + | 7.66611i | −0.672141 | + | 0.426554i | ||||
\(324\) | −1.62131 | + | 4.98989i | −0.0900730 | + | 0.277216i | ||||
\(325\) | 4.65015 | + | 8.13370i | 0.257944 | + | 0.451176i | ||||
\(326\) | −0.0620298 | − | 0.190908i | −0.00343551 | − | 0.0105734i | ||||
\(327\) | −1.68357 | − | 1.39277i | −0.0931016 | − | 0.0770204i | ||||
\(328\) | 1.67682 | − | 0.319871i | 0.0925870 | − | 0.0176619i | ||||
\(329\) | −2.61836 | + | 5.56430i | −0.144355 | + | 0.306770i | ||||
\(330\) | −0.00545742 | − | 0.0404778i | −0.000300421 | − | 0.00222823i | ||||
\(331\) | −1.18078 | + | 6.18985i | −0.0649014 | + | 0.340225i | −0.999896 | − | 0.0144375i | \(-0.995404\pi\) |
0.934994 | + | 0.354663i | \(0.115404\pi\) | |||||||
\(332\) | −3.11275 | + | 1.01140i | −0.170835 | + | 0.0555075i | ||||
\(333\) | 4.41204 | − | 2.07615i | 0.241779 | − | 0.113772i | ||||
\(334\) | 1.28795 | − | 0.509935i | 0.0704734 | − | 0.0279024i | ||||
\(335\) | 19.8867 | + | 2.34368i | 1.08653 | + | 0.128049i | ||||
\(336\) | 13.1551 | − | 3.37766i | 0.717670 | − | 0.184266i | ||||
\(337\) | −11.4185 | − | 28.8398i | −0.622004 | − | 1.57100i | −0.808467 | − | 0.588542i | \(-0.799702\pi\) |
0.186462 | − | 0.982462i | \(-0.440298\pi\) | |||||||
\(338\) | 0.134603 | − | 0.524244i | 0.00732144 | − | 0.0285151i | ||||
\(339\) | −13.6211 | − | 21.4635i | −0.739798 | − | 1.16574i | ||||
\(340\) | −5.52750 | − | 6.56910i | −0.299771 | − | 0.356260i | ||||
\(341\) | −0.0823408 | − | 1.30877i | −0.00445901 | − | 0.0708739i | ||||
\(342\) | 0.293691 | − | 0.534221i | 0.0158810 | − | 0.0288874i | ||||
\(343\) | −17.0091 | − | 5.52658i | −0.918402 | − | 0.298407i | ||||
\(344\) | −2.69293 | + | 0.340197i | −0.145193 | + | 0.0183422i | ||||
\(345\) | −2.31533 | + | 19.6461i | −0.124653 | + | 1.05771i | ||||
\(346\) | 0.662920 | + | 0.622523i | 0.0356388 | + | 0.0334671i | ||||
\(347\) | −14.3674 | + | 15.2998i | −0.771284 | + | 0.821334i | −0.987927 | − | 0.154917i | \(-0.950489\pi\) |
0.216644 | + | 0.976251i | \(0.430489\pi\) | |||||||
\(348\) | 3.78231 | + | 14.7311i | 0.202753 | + | 0.789672i | ||||
\(349\) | −10.7229 | + | 7.79065i | −0.573984 | + | 0.417024i | −0.836550 | − | 0.547890i | \(-0.815431\pi\) |
0.262566 | + | 0.964914i | \(0.415431\pi\) | |||||||
\(350\) | −0.506017 | − | 0.591274i | −0.0270478 | − | 0.0316049i | ||||
\(351\) | −8.40972 | − | 6.11002i | −0.448878 | − | 0.326129i | ||||
\(352\) | 0.0643892 | − | 0.162629i | 0.00343196 | − | 0.00866813i | ||||
\(353\) | −2.88182 | + | 22.8120i | −0.153384 | + | 1.21416i | 0.708003 | + | 0.706209i | \(0.249596\pi\) |
−0.861387 | + | 0.507949i | \(0.830404\pi\) | |||||||
\(354\) | −0.564366 | + | 0.310263i | −0.0299957 | + | 0.0164903i | ||||
\(355\) | −5.63104 | − | 4.57972i | −0.298865 | − | 0.243066i | ||||
\(356\) | −0.708507 | − | 1.50565i | −0.0375508 | − | 0.0797995i | ||||
\(357\) | −3.85642 | − | 5.30791i | −0.204104 | − | 0.280924i | ||||
\(358\) | −0.0978153 | − | 0.774288i | −0.00516970 | − | 0.0409224i | ||||
\(359\) | 18.0568 | + | 4.63619i | 0.952999 | + | 0.244689i | 0.693014 | − | 0.720924i | \(-0.256282\pi\) |
0.259985 | + | 0.965613i | \(0.416282\pi\) | |||||||
\(360\) | 0.683043 | + | 0.263858i | 0.0359995 | + | 0.0139065i | ||||
\(361\) | −23.1780 | + | 28.0174i | −1.21990 | + | 1.47460i | ||||
\(362\) | 0.708009 | − | 0.585716i | 0.0372121 | − | 0.0307846i | ||||
\(363\) | −11.5444 | − | 7.32629i | −0.605923 | − | 0.384531i | ||||
\(364\) | −0.641068 | + | 10.1895i | −0.0336011 | + | 0.534074i | ||||
\(365\) | −3.25714 | + | 10.3169i | −0.170487 | + | 0.540011i | ||||
\(366\) | −0.486004 | − | 0.587478i | −0.0254039 | − | 0.0307080i | ||||
\(367\) | 5.79503 | + | 1.10546i | 0.302498 | + | 0.0577046i | 0.336396 | − | 0.941721i | \(-0.390792\pi\) |
−0.0338978 | + | 0.999425i | \(0.510792\pi\) | |||||||
\(368\) | −16.5530 | + | 22.7833i | −0.862886 | + | 1.18766i | ||||
\(369\) | −9.42504 | − | 5.18146i | −0.490648 | − | 0.269736i | ||||
\(370\) | 0.162750 | + | 0.401235i | 0.00846097 | + | 0.0208592i | ||||
\(371\) | 5.01193 | + | 0.633153i | 0.260206 | + | 0.0328717i | ||||
\(372\) | −11.5686 | − | 5.44378i | −0.599805 | − | 0.282247i | ||||
\(373\) | 19.6352 | + | 1.23534i | 1.01667 | + | 0.0639636i | 0.562371 | − | 0.826885i | \(-0.309889\pi\) |
0.454300 | + | 0.890849i | \(0.349889\pi\) | |||||||
\(374\) | −0.0280882 | −0.00145241 | ||||||||
\(375\) | −1.22717 | − | 13.9264i | −0.0633709 | − | 0.719158i | ||||
\(376\) | 0.513785 | 0.0264965 | ||||||||
\(377\) | −11.3916 | − | 0.716698i | −0.586696 | − | 0.0369118i | ||||
\(378\) | 0.781274 | + | 0.367640i | 0.0401844 | + | 0.0189093i | ||||
\(379\) | −16.6458 | − | 2.10285i | −0.855036 | − | 0.108016i | −0.314418 | − | 0.949284i | \(-0.601810\pi\) |
−0.540618 | + | 0.841268i | \(0.681810\pi\) | |||||||
\(380\) | −28.1972 | − | 17.5658i | −1.44649 | − | 0.901108i | ||||
\(381\) | −12.3522 | − | 6.79070i | −0.632825 | − | 0.347898i | ||||
\(382\) | −0.139658 | + | 0.192223i | −0.00714553 | + | 0.00983498i | ||||
\(383\) | −14.4782 | − | 2.76187i | −0.739803 | − | 0.141125i | −0.196314 | − | 0.980541i | \(-0.562897\pi\) |
−0.543489 | + | 0.839416i | \(0.682897\pi\) | |||||||
\(384\) | −1.44898 | − | 1.75151i | −0.0739428 | − | 0.0893815i | ||||
\(385\) | 1.56250 | − | 0.0130520i | 0.0796323 | − | 0.000665194i | ||||
\(386\) | 0.0231766 | − | 0.368382i | 0.00117966 | − | 0.0187501i | ||||
\(387\) | 14.4395 | + | 9.16361i | 0.734003 | + | 0.465813i | ||||
\(388\) | −5.48393 | + | 4.53670i | −0.278404 | + | 0.230316i | ||||
\(389\) | 8.85709 | − | 10.7064i | 0.449072 | − | 0.542835i | −0.496590 | − | 0.867985i | \(-0.665415\pi\) |
0.945662 | + | 0.325150i | \(0.105415\pi\) | |||||||
\(390\) | 0.188570 | − | 0.231858i | 0.00954860 | − | 0.0117406i | ||||
\(391\) | 13.1766 | + | 3.38318i | 0.666370 | + | 0.171095i | ||||
\(392\) | −0.0127392 | − | 0.100841i | −0.000643427 | − | 0.00509325i | ||||
\(393\) | 4.56980 | + | 6.28978i | 0.230516 | + | 0.317278i | ||||
\(394\) | 0.464463 | + | 0.987034i | 0.0233993 | + | 0.0497261i | ||||
\(395\) | −1.78659 | − | 6.72460i | −0.0898930 | − | 0.338351i | ||||
\(396\) | −0.643641 | + | 0.353845i | −0.0323442 | + | 0.0177814i | ||||
\(397\) | −3.84369 | + | 30.4260i | −0.192909 | + | 1.52704i | 0.537053 | + | 0.843548i | \(0.319537\pi\) |
−0.729963 | + | 0.683487i | \(0.760463\pi\) | |||||||
\(398\) | −0.408482 | + | 1.03171i | −0.0204753 | + | 0.0517148i | ||||
\(399\) | −20.5393 | − | 14.9226i | −1.02825 | − | 0.747067i | ||||
\(400\) | 8.17203 | − | 18.1473i | 0.408601 | − | 0.907366i | ||||
\(401\) | −25.6793 | + | 18.6571i | −1.28236 | + | 0.931691i | −0.999622 | − | 0.0275046i | \(-0.991244\pi\) |
−0.282742 | + | 0.959196i | \(0.591244\pi\) | |||||||
\(402\) | −0.158848 | − | 0.618673i | −0.00792263 | − | 0.0308566i | ||||
\(403\) | 6.56843 | − | 6.99467i | 0.327197 | − | 0.348429i | ||||
\(404\) | 14.5303 | + | 13.6449i | 0.722911 | + | 0.678858i | ||||
\(405\) | 2.87347 | + | 5.12494i | 0.142784 | + | 0.254660i | ||||
\(406\) | 0.940628 | − | 0.118829i | 0.0466826 | − | 0.00589738i | ||||
\(407\) | −0.826801 | − | 0.268644i | −0.0409830 | − | 0.0133162i | ||||
\(408\) | −0.264075 | + | 0.480351i | −0.0130737 | + | 0.0237809i | ||||
\(409\) | 0.490675 | + | 7.79906i | 0.0242623 | + | 0.385639i | 0.991354 | + | 0.131212i | \(0.0418868\pi\) |
−0.967092 | + | 0.254427i | \(0.918113\pi\) | |||||||
\(410\) | 0.504989 | − | 0.810623i | 0.0249396 | − | 0.0400338i | ||||
\(411\) | 14.3890 | + | 22.6734i | 0.709756 | + | 1.11840i | ||||
\(412\) | −5.01955 | + | 19.5498i | −0.247295 | + | 0.963151i | ||||
\(413\) | −9.06996 | − | 22.9081i | −0.446303 | − | 1.12723i | ||||
\(414\) | −0.561459 | + | 0.144158i | −0.0275942 | + | 0.00708499i | ||||
\(415\) | −1.53282 | + | 3.32931i | −0.0752432 | + | 0.163430i | ||||
\(416\) | 1.18996 | − | 0.471140i | 0.0583428 | − | 0.0230996i | ||||
\(417\) | −4.07316 | + | 1.91668i | −0.199464 | + | 0.0938604i | ||||
\(418\) | −0.103369 | + | 0.0335868i | −0.00505596 | + | 0.00164278i | ||||
\(419\) | 0.587008 | − | 3.07721i | 0.0286772 | − | 0.150331i | −0.965069 | − | 0.261998i | \(-0.915619\pi\) |
0.993746 | + | 0.111666i | \(0.0356187\pi\) | |||||||
\(420\) | 7.22752 | − | 13.4110i | 0.352667 | − | 0.654388i | ||||
\(421\) | 12.0197 | − | 25.5432i | 0.585805 | − | 1.24490i | −0.363808 | − | 0.931474i | \(-0.618523\pi\) |
0.949613 | − | 0.313425i | \(-0.101477\pi\) | |||||||
\(422\) | 0.411215 | − | 0.0784434i | 0.0200176 | − | 0.00381857i | ||||
\(423\) | −2.49425 | − | 2.06343i | −0.121275 | − | 0.100327i | ||||
\(424\) | −0.130425 | − | 0.401408i | −0.00633401 | − | 0.0194941i | ||||
\(425\) | −9.60401 | − | 0.443305i | −0.465863 | − | 0.0215035i | ||||
\(426\) | −0.0715454 | + | 0.220194i | −0.00346639 | + | 0.0106684i | ||||
\(427\) | 24.6280 | − | 15.6294i | 1.19183 | − | 0.756359i | ||||
\(428\) | −0.381949 | − | 0.694763i | −0.0184622 | − | 0.0335826i | ||||
\(429\) | 0.112438 | + | 0.589421i | 0.00542856 | + | 0.0284575i | ||||
\(430\) | −0.882315 | + | 1.23598i | −0.0425490 | + | 0.0596044i | ||||
\(431\) | 22.3646 | − | 21.0017i | 1.07726 | − | 1.01162i | 0.0773694 | − | 0.997002i | \(-0.475348\pi\) |
0.999893 | − | 0.0146145i | \(-0.00465209\pi\) | |||||||
\(432\) | 22.0816i | 1.06240i | ||||||||
\(433\) | −15.8931 | − | 16.9244i | −0.763772 | − | 0.813335i | 0.223107 | − | 0.974794i | \(-0.428380\pi\) |
−0.986879 | + | 0.161459i | \(0.948380\pi\) | |||||||
\(434\) | −0.427068 | + | 0.672951i | −0.0204999 | + | 0.0323027i | ||||
\(435\) | 14.9931 | + | 8.08019i | 0.718865 | + | 0.387416i | ||||
\(436\) | −3.24405 | − | 1.28441i | −0.155362 | − | 0.0615122i | ||||
\(437\) | 52.5376 | − | 3.30538i | 2.51321 | − | 0.158118i | ||||
\(438\) | 0.344421 | − | 0.0216691i | 0.0164571 | − | 0.00103539i | ||||
\(439\) | 21.3201 | + | 8.44121i | 1.01755 | + | 0.402877i | 0.816896 | − | 0.576785i | \(-0.195693\pi\) |
0.200655 | + | 0.979662i | \(0.435693\pi\) | |||||||
\(440\) | −0.0565695 | − | 0.117655i | −0.00269685 | − | 0.00560899i | ||||
\(441\) | −0.343146 | + | 0.540712i | −0.0163403 | + | 0.0257482i | ||||
\(442\) | −0.140691 | − | 0.149820i | −0.00669197 | − | 0.00712622i | ||||
\(443\) | − | 38.2026i | − | 1.81506i | −0.419986 | − | 0.907531i | \(-0.637965\pi\) | ||
0.419986 | − | 0.907531i | \(-0.362035\pi\) | |||||||
\(444\) | −6.17871 | + | 5.80220i | −0.293229 | + | 0.275360i | ||||
\(445\) | −1.77701 | − | 0.561019i | −0.0842384 | − | 0.0265948i | ||||
\(446\) | 0.0445883 | + | 0.233740i | 0.00211132 | + | 0.0110679i | ||||
\(447\) | −12.9302 | − | 23.5199i | −0.611577 | − | 1.11246i | ||||
\(448\) | 18.2517 | − | 11.5829i | 0.862313 | − | 0.547240i | ||||
\(449\) | −5.00724 | + | 15.4107i | −0.236306 | + | 0.727275i | 0.760639 | + | 0.649175i | \(0.224886\pi\) |
−0.996945 | + | 0.0781007i | \(0.975114\pi\) | |||||||
\(450\) | 0.367711 | − | 0.180595i | 0.0173340 | − | 0.00851333i | ||||
\(451\) | 0.592557 | + | 1.82370i | 0.0279024 | + | 0.0858748i | ||||
\(452\) | −31.2772 | − | 25.8747i | −1.47115 | − | 1.21704i | ||||
\(453\) | 9.85613 | − | 1.88016i | 0.463081 | − | 0.0883375i | ||||
\(454\) | 0.449102 | − | 0.954391i | 0.0210774 | − | 0.0447918i | ||||
\(455\) | 7.89598 | + | 8.26885i | 0.370169 | + | 0.387650i | ||||
\(456\) | −0.397457 | + | 2.08354i | −0.0186126 | + | 0.0975708i | ||||
\(457\) | 34.7225 | − | 11.2820i | 1.62425 | − | 0.527751i | 0.651311 | − | 0.758811i | \(-0.274219\pi\) |
0.972939 | + | 0.231060i | \(0.0742194\pi\) | |||||||
\(458\) | 1.12513 | − | 0.529444i | 0.0525737 | − | 0.0247393i | ||||
\(459\) | 9.91784 | − | 3.92675i | 0.462925 | − | 0.183285i | ||||
\(460\) | 6.17809 | + | 30.9785i | 0.288055 | + | 1.44438i | ||||
\(461\) | −12.5485 | + | 3.22191i | −0.584442 | + | 0.150059i | −0.529323 | − | 0.848421i | \(-0.677554\pi\) |
−0.0551193 | + | 0.998480i | \(0.517554\pi\) | |||||||
\(462\) | −0.0183483 | − | 0.0463425i | −0.000853640 | − | 0.00215605i | ||||
\(463\) | −5.10688 | + | 19.8900i | −0.237337 | + | 0.924366i | 0.732531 | + | 0.680734i | \(0.238339\pi\) |
−0.969868 | + | 0.243632i | \(0.921661\pi\) | |||||||
\(464\) | 12.9919 | + | 20.4720i | 0.603134 | + | 0.950387i | ||||
\(465\) | −13.2679 | + | 5.38177i | −0.615284 | + | 0.249573i | ||||
\(466\) | 0.0188239 | + | 0.299198i | 0.000872002 | + | 0.0138601i | ||||
\(467\) | 12.4570 | − | 22.6593i | 0.576444 | − | 1.04855i | −0.413954 | − | 0.910298i | \(-0.635853\pi\) |
0.990397 | − | 0.138249i | \(-0.0441474\pi\) | |||||||
\(468\) | −5.11130 | − | 1.66076i | −0.236270 | − | 0.0767688i | ||||
\(469\) | 24.2433 | − | 3.06264i | 1.11945 | − | 0.141420i | ||||
\(470\) | 0.195015 | − | 0.211177i | 0.00899537 | − | 0.00974088i | ||||
\(471\) | 8.73295 | + | 8.20079i | 0.402393 | + | 0.377872i | ||||
\(472\) | −1.40913 | + | 1.50057i | −0.0648604 | + | 0.0690693i | ||||
\(473\) | −0.758265 | − | 2.95325i | −0.0348651 | − | 0.135790i | ||||
\(474\) | −0.179556 | + | 0.130455i | −0.00824730 | + | 0.00599201i | ||||
\(475\) | −35.8744 | + | 9.85264i | −1.64603 | + | 0.452070i | ||||
\(476\) | −8.47583 | − | 6.15805i | −0.388489 | − | 0.282254i | ||||
\(477\) | −0.978933 | + | 2.47250i | −0.0448222 | + | 0.113208i | ||||
\(478\) | 0.0188753 | − | 0.149413i | 0.000863334 | − | 0.00683399i | ||||
\(479\) | 18.9293 | − | 10.4065i | 0.864900 | − | 0.475483i | 0.0134446 | − | 0.999910i | \(-0.495720\pi\) |
0.851456 | + | 0.524427i | \(0.175720\pi\) | |||||||
\(480\) | −1.90691 | − | 0.103989i | −0.0870381 | − | 0.00474642i | ||||
\(481\) | −2.70842 | − | 5.75569i | −0.123493 | − | 0.262437i | ||||
\(482\) | −0.416135 | − | 0.572761i | −0.0189544 | − | 0.0260886i | ||||
\(483\) | 3.02559 | + | 23.9500i | 0.137669 | + | 1.08976i | ||||
\(484\) | −21.1473 | − | 5.42971i | −0.961242 | − | 0.246805i | ||||
\(485\) | −0.433996 | + | 7.95846i | −0.0197068 | + | 0.361375i | ||||
\(486\) | −0.485640 | + | 0.587037i | −0.0220291 | + | 0.0266286i | ||||
\(487\) | −7.80838 | + | 6.45965i | −0.353832 | + | 0.292715i | −0.797310 | − | 0.603570i | \(-0.793744\pi\) |
0.443478 | + | 0.896285i | \(0.353744\pi\) | |||||||
\(488\) | −2.05762 | − | 1.30581i | −0.0931441 | − | 0.0591111i | ||||
\(489\) | 0.276305 | − | 4.39175i | 0.0124950 | − | 0.198602i | ||||
\(490\) | −0.0462833 | − | 0.0330397i | −0.00209087 | − | 0.00149258i | ||||
\(491\) | 13.0023 | + | 15.7171i | 0.586785 | + | 0.709302i | 0.977435 | − | 0.211238i | \(-0.0677495\pi\) |
−0.390649 | + | 0.920540i | \(0.627750\pi\) | |||||||
\(492\) | 18.3646 | + | 3.50323i | 0.827938 | + | 0.157938i | ||||
\(493\) | 6.88455 | − | 9.47577i | 0.310064 | − | 0.426767i | ||||
\(494\) | −0.696914 | − | 0.383131i | −0.0313556 | − | 0.0172379i | ||||
\(495\) | −0.197892 | + | 0.798366i | −0.00889459 | + | 0.0358839i | ||||
\(496\) | −20.2221 | − | 2.55465i | −0.908000 | − | 0.114707i | ||||
\(497\) | −8.01439 | − | 3.77129i | −0.359495 | − | 0.169165i | ||||
\(498\) | 0.116683 | + | 0.00734110i | 0.00522871 | + | 0.000328962i | ||||
\(499\) | −25.7696 | −1.15361 | −0.576804 | − | 0.816883i | \(-0.695700\pi\) | ||||
−0.576804 | + | 0.816883i | \(0.695700\pi\) | |||||||
\(500\) | −8.73564 | − | 20.5442i | −0.390670 | − | 0.918763i | ||||
\(501\) | 30.3667 | 1.35668 | ||||||||
\(502\) | −1.47213 | − | 0.0926186i | −0.0657044 | − | 0.00413377i | ||||
\(503\) | 4.89025 | + | 2.30118i | 0.218045 | + | 0.102604i | 0.531700 | − | 0.846933i | \(-0.321553\pi\) |
−0.313655 | + | 0.949537i | \(0.601553\pi\) | |||||||
\(504\) | 0.886512 | + | 0.111993i | 0.0394884 | + | 0.00498854i | ||||
\(505\) | 22.2652 | − | 1.58763i | 0.990790 | − | 0.0706487i | ||||
\(506\) | 0.0905645 | + | 0.0497883i | 0.00402608 | + | 0.00221336i | ||||
\(507\) | 6.97417 | − | 9.59913i | 0.309734 | − | 0.426312i | ||||
\(508\) | −22.1099 | − | 4.21769i | −0.980968 | − | 0.187130i | ||||
\(509\) | 6.11057 | + | 7.38641i | 0.270846 | + | 0.327397i | 0.888346 | − | 0.459174i | \(-0.151854\pi\) |
−0.617500 | + | 0.786571i | \(0.711854\pi\) | |||||||
\(510\) | 0.0972014 | + | 0.290865i | 0.00430415 | + | 0.0128797i | ||||
\(511\) | −0.828986 | + | 13.1764i | −0.0366722 | + | 0.582887i | ||||
\(512\) | −3.82787 | − | 2.42924i | −0.169170 | − | 0.107358i | ||||
\(513\) | 31.8039 | − | 26.3104i | 1.40417 | − | 1.16163i | ||||
\(514\) | −0.0681672 | + | 0.0824000i | −0.00300673 | + | 0.00363451i | ||||
\(515\) | 12.2703 | + | 18.9826i | 0.540696 | + | 0.836474i | ||||
\(516\) | −28.7935 | − | 7.39291i | −1.26756 | − | 0.325455i | ||||
\(517\) | 0.0723348 | + | 0.572589i | 0.00318128 | + | 0.0251824i | ||||
\(518\) | 0.310574 | + | 0.427468i | 0.0136458 | + | 0.0187819i | ||||
\(519\) | 8.48817 | + | 18.0383i | 0.372589 | + | 0.791792i | ||||
\(520\) | 0.344213 | − | 0.891058i | 0.0150947 | − | 0.0390755i | ||||
\(521\) | −32.0798 | + | 17.6360i | −1.40544 | + | 0.772648i | −0.990541 | − | 0.137219i | \(-0.956184\pi\) |
−0.414901 | + | 0.909867i | \(0.636184\pi\) | |||||||
\(522\) | −0.0625515 | + | 0.495146i | −0.00273780 | + | 0.0216719i | ||||
\(523\) | 0.882881 | − | 2.22990i | 0.0386057 | − | 0.0975068i | −0.909195 | − | 0.416372i | \(-0.863302\pi\) |
0.947800 | + | 0.318865i | \(0.103302\pi\) | |||||||
\(524\) | 10.0437 | + | 7.29719i | 0.438762 | + | 0.318779i | ||||
\(525\) | −5.54230 | − | 16.1351i | −0.241886 | − | 0.704195i | ||||
\(526\) | 0.743940 | − | 0.540504i | 0.0324373 | − | 0.0235671i | ||||
\(527\) | 2.44868 | + | 9.53696i | 0.106666 | + | 0.415437i | ||||
\(528\) | 0.872563 | − | 0.929185i | 0.0379734 | − | 0.0404376i | ||||
\(529\) | −19.7220 | − | 18.5202i | −0.857477 | − | 0.805225i | ||||
\(530\) | −0.214492 | − | 0.0987526i | −0.00931696 | − | 0.00428954i | ||||
\(531\) | 12.8673 | − | 1.62552i | 0.558393 | − | 0.0705415i | ||||
\(532\) | −38.5560 | − | 12.5276i | −1.67161 | − | 0.543141i | ||||
\(533\) | −6.75942 | + | 12.2953i | −0.292783 | + | 0.532571i | ||||
\(534\) | 0.00373235 | + | 0.0593239i | 0.000161514 | + | 0.00256720i | ||||
\(535\) | −0.861777 | − | 0.213610i | −0.0372579 | − | 0.00923516i | ||||
\(536\) | −1.09393 | − | 1.72376i | −0.0472508 | − | 0.0744553i | ||||
\(537\) | 4.25477 | − | 16.5712i | 0.183607 | − | 0.715101i | ||||
\(538\) | 0.574428 | + | 1.45084i | 0.0247653 | + | 0.0625501i | ||||
\(539\) | 0.110589 | − | 0.0283944i | 0.00476341 | − | 0.00122303i | ||||
\(540\) | 18.1965 | + | 16.8039i | 0.783055 | + | 0.723124i | ||||
\(541\) | −13.6137 | + | 5.39003i | −0.585297 | + | 0.231735i | −0.642063 | − | 0.766652i | \(-0.721921\pi\) |
0.0567659 | + | 0.998388i | \(0.481921\pi\) | |||||||
\(542\) | −0.586400 | + | 0.275939i | −0.0251880 | + | 0.0118526i | ||||
\(543\) | 19.1577 | − | 6.22470i | 0.822134 | − | 0.267127i | ||||
\(544\) | −0.246091 | + | 1.29006i | −0.0105511 | + | 0.0553107i | ||||
\(545\) | −3.52137 | + | 1.69310i | −0.150839 | + | 0.0725245i | ||||
\(546\) | 0.155283 | − | 0.329992i | 0.00664548 | − | 0.0141224i | ||||
\(547\) | 20.4362 | − | 3.89841i | 0.873788 | − | 0.166684i | 0.269067 | − | 0.963121i | \(-0.413285\pi\) |
0.604721 | + | 0.796438i | \(0.293285\pi\) | |||||||
\(548\) | 33.0403 | + | 27.3333i | 1.41141 | + | 1.16762i | ||||
\(549\) | 4.74477 | + | 14.6029i | 0.202502 | + | 0.623237i | ||||
\(550\) | −0.0698308 | − | 0.0214065i | −0.00297759 | − | 0.000912775i | ||||
\(551\) | 14.0056 | − | 43.1047i | 0.596657 | − | 1.83632i | ||||
\(552\) | 1.70291 | − | 1.08070i | 0.0724806 | − | 0.0459976i | ||||
\(553\) | −4.09048 | − | 7.44055i | −0.173945 | − | 0.316404i | ||||
\(554\) | −0.219547 | − | 1.15091i | −0.00932767 | − | 0.0488974i | ||||
\(555\) | 0.0792857 | + | 9.49153i | 0.00336549 | + | 0.402893i | ||||
\(556\) | −5.24003 | + | 4.92071i | −0.222227 | + | 0.208685i | ||||
\(557\) | − | 19.6135i | − | 0.831052i | −0.909581 | − | 0.415526i | \(-0.863598\pi\) | ||
0.909581 | − | 0.415526i | \(-0.136402\pi\) | |||||||
\(558\) | −0.287204 | − | 0.305842i | −0.0121583 | − | 0.0129473i | ||||
\(559\) | 11.9543 | − | 18.8370i | 0.505613 | − | 0.796719i | ||||
\(560\) | 4.35154 | − | 23.8942i | 0.183886 | − | 1.00972i | ||||
\(561\) | −0.572506 | − | 0.226671i | −0.0241712 | − | 0.00957007i | ||||
\(562\) | −0.00235859 | 0.000148390i | −9.94910e−5 | 6.25945e-6i | ||||||
\(563\) | 24.5312 | − | 1.54337i | 1.03387 | − | 0.0650454i | 0.463222 | − | 0.886242i | \(-0.346693\pi\) |
0.570645 | + | 0.821197i | \(0.306693\pi\) | |||||||
\(564\) | 5.23183 | + | 2.07143i | 0.220300 | + | 0.0872229i | ||||
\(565\) | −45.0503 | + | 6.07390i | −1.89528 | + | 0.255531i | ||||
\(566\) | −0.267206 | + | 0.421049i | −0.0112315 | + | 0.0176980i | ||||
\(567\) | 4.90820 | + | 5.22670i | 0.206125 | + | 0.219501i | ||||
\(568\) | 0.740017i | 0.0310504i | ||||||||
\(569\) | −11.0879 | + | 10.4122i | −0.464829 | + | 0.436503i | −0.881237 | − | 0.472675i | \(-0.843289\pi\) |
0.416409 | + | 0.909178i | \(0.363289\pi\) | |||||||
\(570\) | 0.705522 | + | 0.954203i | 0.0295511 | + | 0.0399672i | ||||
\(571\) | −2.58823 | − | 13.5680i | −0.108314 | − | 0.567802i | −0.994523 | − | 0.104517i | \(-0.966670\pi\) |
0.886209 | − | 0.463286i | \(-0.153330\pi\) | |||||||
\(572\) | 0.461605 | + | 0.839657i | 0.0193007 | + | 0.0351078i | ||||
\(573\) | −4.39780 | + | 2.79093i | −0.183721 | + | 0.116593i | ||||
\(574\) | 0.360148 | − | 1.10842i | 0.0150323 | − | 0.0462646i | ||||
\(575\) | 30.1803 | + | 18.4531i | 1.25860 | + | 0.769547i | ||||
\(576\) | 3.51634 | + | 10.8222i | 0.146514 | + | 0.450924i | ||||
\(577\) | −21.7525 | − | 17.9952i | −0.905569 | − | 0.749151i | 0.0629699 | − | 0.998015i | \(-0.479943\pi\) |
−0.968538 | + | 0.248864i | \(0.919943\pi\) | |||||||
\(578\) | −0.745357 | + | 0.142184i | −0.0310027 | + | 0.00591409i | ||||
\(579\) | 3.44523 | − | 7.32148i | 0.143179 | − | 0.304270i | ||||
\(580\) | 26.7568 | + | 4.87287i | 1.11102 | + | 0.202335i | ||||
\(581\) | −0.838106 | + | 4.39350i | −0.0347705 | + | 0.182273i | ||||
\(582\) | 0.241795 | − | 0.0785638i | 0.0100227 | − | 0.00325658i | ||||
\(583\) | 0.428987 | − | 0.201866i | 0.0177668 | − | 0.00836043i | ||||
\(584\) | 1.02558 | − | 0.406055i | 0.0424387 | − | 0.0168027i | ||||
\(585\) | −5.24964 | + | 2.94338i | −0.217046 | + | 0.121694i | ||||
\(586\) | 0.558041 | − | 0.143281i | 0.0230525 | − | 0.00591886i | ||||
\(587\) | 1.46040 | + | 3.68855i | 0.0602772 | + | 0.152243i | 0.956794 | − | 0.290767i | \(-0.0939106\pi\) |
−0.896517 | + | 0.443010i | \(0.853911\pi\) | |||||||
\(588\) | 0.276839 | − | 1.07822i | 0.0114167 | − | 0.0444649i | ||||
\(589\) | 20.4154 | + | 32.1696i | 0.841204 | + | 1.32552i | ||||
\(590\) | 0.0819119 | + | 1.14875i | 0.00337226 | + | 0.0472931i | ||||
\(591\) | 1.50154 | + | 23.8663i | 0.0617652 | + | 0.981730i | ||||
\(592\) | −6.50974 | + | 11.8412i | −0.267549 | + | 0.486669i | ||||
\(593\) | 8.62390 | + | 2.80207i | 0.354141 | + | 0.115067i | 0.480684 | − | 0.876894i | \(-0.340388\pi\) |
−0.126543 | + | 0.991961i | \(0.540388\pi\) | |||||||
\(594\) | 0.0803962 | − | 0.0101564i | 0.00329870 | − | 0.000416722i | ||||
\(595\) | −11.5058 | + | 2.29462i | −0.471692 | + | 0.0940702i | ||||
\(596\) | −31.2426 | − | 29.3388i | −1.27975 | − | 1.20176i | ||||
\(597\) | −16.6517 | + | 17.7322i | −0.681508 | + | 0.725733i | ||||
\(598\) | 0.188060 | + | 0.732447i | 0.00769036 | + | 0.0299520i | ||||
\(599\) | −19.8305 | + | 14.4077i | −0.810253 | + | 0.588683i | −0.913904 | − | 0.405930i | \(-0.866948\pi\) |
0.103651 | + | 0.994614i | \(0.466948\pi\) | |||||||
\(600\) | −1.02261 | + | 0.992955i | −0.0417477 | + | 0.0405372i | ||||
\(601\) | −25.9123 | − | 18.8264i | −1.05698 | − | 0.767944i | −0.0834560 | − | 0.996511i | \(-0.526596\pi\) |
−0.973528 | + | 0.228568i | \(0.926596\pi\) | |||||||
\(602\) | −0.682196 | + | 1.72303i | −0.0278042 | + | 0.0702254i | ||||
\(603\) | −1.61217 | + | 12.7617i | −0.0656528 | + | 0.519695i | ||||
\(604\) | 14.0405 | − | 7.71883i | 0.571300 | − | 0.314075i | ||||
\(605\) | −20.5338 | + | 13.2730i | −0.834816 | + | 0.539624i | ||||
\(606\) | −0.303165 | − | 0.644259i | −0.0123152 | − | 0.0261712i | ||||
\(607\) | −20.2233 | − | 27.8350i | −0.820839 | − | 1.12979i | −0.989560 | − | 0.144124i | \(-0.953964\pi\) |
0.168721 | − | 0.985664i | \(-0.446036\pi\) | |||||||
\(608\) | 0.636939 | + | 5.04189i | 0.0258313 | + | 0.204476i | ||||
\(609\) | 20.1312 | + | 5.16882i | 0.815758 | + | 0.209451i | ||||
\(610\) | −1.31772 | + | 0.350090i | −0.0533528 | + | 0.0141747i | ||||
\(611\) | −2.69182 | + | 3.25385i | −0.108899 | + | 0.131637i | ||||
\(612\) | 4.24932 | − | 3.51535i | 0.171769 | − | 0.142099i | ||||
\(613\) | −12.2299 | − | 7.76133i | −0.493961 | − | 0.313477i | 0.265409 | − | 0.964136i | \(-0.414493\pi\) |
−0.759370 | + | 0.650659i | \(0.774493\pi\) | |||||||
\(614\) | 0.0796946 | − | 1.26671i | 0.00321621 | − | 0.0511203i | ||||
\(615\) | 16.8346 | − | 12.4472i | 0.678837 | − | 0.501920i | ||||
\(616\) | −0.101548 | − | 0.122751i | −0.00409149 | − | 0.00494576i | ||||
\(617\) | −28.2830 | − | 5.39527i | −1.13863 | − | 0.217206i | −0.416616 | − | 0.909083i | \(-0.636784\pi\) |
−0.722015 | + | 0.691877i | \(0.756784\pi\) | |||||||
\(618\) | 0.423793 | − | 0.583300i | 0.0170474 | − | 0.0234638i | ||||
\(619\) | −23.1618 | − | 12.7333i | −0.930953 | − | 0.511796i | −0.0573065 | − | 0.998357i | \(-0.518251\pi\) |
−0.873647 | + | 0.486561i | \(0.838251\pi\) | |||||||
\(620\) | −17.4940 | + | 14.7202i | −0.702577 | + | 0.591176i | ||||
\(621\) | −38.9384 | − | 4.91906i | −1.56254 | − | 0.197395i | ||||
\(622\) | −0.960663 | − | 0.452054i | −0.0385191 | − | 0.0181257i | ||||
\(623\) | −2.26953 | − | 0.142787i | −0.0909267 | − | 0.00572063i | ||||
\(624\) | 9.32675 | 0.373369 | ||||||||
\(625\) | −23.5389 | − | 8.42147i | −0.941555 | − | 0.336859i | ||||
\(626\) | −0.215710 | −0.00862151 | ||||||||
\(627\) | −2.37796 | − | 0.149609i | −0.0949667 | − | 0.00597480i | ||||
\(628\) | 17.3092 | + | 8.14508i | 0.690711 | + | 0.325024i | ||||
\(629\) | 6.47603 | + | 0.818112i | 0.258216 | + | 0.0326203i | ||||
\(630\) | 0.382520 | − | 0.321868i | 0.0152400 | − | 0.0128235i | ||||
\(631\) | −25.3081 | − | 13.9133i | −1.00750 | − | 0.553878i | −0.109553 | − | 0.993981i | \(-0.534942\pi\) |
−0.897947 | + | 0.440103i | \(0.854942\pi\) | |||||||
\(632\) | −0.416970 | + | 0.573909i | −0.0165862 | + | 0.0228289i | ||||
\(633\) | 9.01459 | + | 1.71962i | 0.358298 | + | 0.0683490i | ||||
\(634\) | −0.361967 | − | 0.437543i | −0.0143755 | − | 0.0173771i | ||||
\(635\) | −20.2679 | + | 14.9858i | −0.804308 | + | 0.594692i | ||||
\(636\) | 0.290247 | − | 4.61334i | 0.0115090 | − | 0.182931i | ||||
\(637\) | 0.705380 | + | 0.447648i | 0.0279482 | + | 0.0177365i | ||||
\(638\) | 0.0685602 | − | 0.0567179i | 0.00271432 | − | 0.00224548i | ||||
\(639\) | 2.97200 | − | 3.59253i | 0.117570 | − | 0.142118i | ||||
\(640\) | −3.92865 | + | 1.04376i | −0.155293 | + | 0.0412583i | ||||
\(641\) | 11.3266 | + | 2.90818i | 0.447375 | + | 0.114866i | 0.465655 | − | 0.884967i | \(-0.345819\pi\) |
−0.0182796 | + | 0.999833i | \(0.505819\pi\) | |||||||
\(642\) | 0.00354957 | + | 0.0280977i | 0.000140090 | + | 0.00110893i | ||||
\(643\) | −15.3920 | − | 21.1853i | −0.607002 | − | 0.835466i | 0.389325 | − | 0.921100i | \(-0.372708\pi\) |
−0.996327 | + | 0.0856343i | \(0.972708\pi\) | |||||||
\(644\) | 16.4129 | + | 34.8793i | 0.646761 | + | 1.37444i | ||||
\(645\) | −27.9581 | + | 18.0721i | −1.10085 | + | 0.711587i | ||||
\(646\) | 0.715144 | − | 0.393154i | 0.0281370 | − | 0.0154684i | ||||
\(647\) | −4.87315 | + | 38.5750i | −0.191583 | + | 1.51654i | 0.543989 | + | 0.839093i | \(0.316913\pi\) |
−0.735572 | + | 0.677446i | \(0.763087\pi\) | |||||||
\(648\) | 0.220521 | − | 0.556973i | 0.00866289 | − | 0.0218800i | ||||
\(649\) | −1.87070 | − | 1.35914i | −0.0734313 | − | 0.0533510i | ||||
\(650\) | −0.235594 | − | 0.479694i | −0.00924074 | − | 0.0188151i | ||||
\(651\) | −14.1354 | + | 10.2700i | −0.554009 | + | 0.402511i | ||||
\(652\) | −1.74748 | − | 6.80598i | −0.0684366 | − | 0.266543i | ||||
\(653\) | −15.6106 | + | 16.6236i | −0.610889 | + | 0.650531i | −0.957823 | − | 0.287359i | \(-0.907223\pi\) |
0.346934 | + | 0.937890i | \(0.387223\pi\) | |||||||
\(654\) | 0.0908546 | + | 0.0853181i | 0.00355270 | + | 0.00333620i | ||||
\(655\) | 13.6342 | − | 2.71909i | 0.532732 | − | 0.106243i | ||||
\(656\) | 29.5701 | − | 3.73557i | 1.15452 | − | 0.145850i | ||||
\(657\) | −6.60959 | − | 2.14759i | −0.257865 | − | 0.0837853i | ||||
\(658\) | 0.168988 | − | 0.307389i | 0.00658786 | − | 0.0119833i | ||||
\(659\) | −2.29875 | − | 36.5376i | −0.0895467 | − | 1.42330i | −0.744494 | − | 0.667629i | \(-0.767309\pi\) |
0.654947 | − | 0.755675i | \(-0.272691\pi\) | |||||||
\(660\) | −0.101692 | − | 1.42614i | −0.00395835 | − | 0.0555126i | ||||
\(661\) | 4.12876 | + | 6.50589i | 0.160590 | + | 0.253050i | 0.915089 | − | 0.403252i | \(-0.132120\pi\) |
−0.754499 | + | 0.656301i | \(0.772120\pi\) | |||||||
\(662\) | 0.0893896 | − | 0.348149i | 0.00347423 | − | 0.0135312i | ||||
\(663\) | −1.65857 | − | 4.18907i | −0.0644135 | − | 0.162690i | ||||
\(664\) | 0.361948 | − | 0.0929324i | 0.0140463 | − | 0.00360648i | ||||
\(665\) | −39.5995 | + | 22.2028i | −1.53560 | + | 0.860986i | ||||
\(666\) | −0.258607 | + | 0.102390i | −0.0100208 | + | 0.00396752i | ||||
\(667\) | −38.9942 | + | 18.3493i | −1.50986 | + | 0.710486i | ||||
\(668\) | 46.1171 | − | 14.9844i | 1.78432 | − | 0.579762i | ||||
\(669\) | −0.977458 | + | 5.12401i | −0.0377907 | + | 0.198106i | ||||
\(670\) | −1.12373 | − | 0.204649i | −0.0434133 | − | 0.00790628i | ||||
\(671\) | 1.16557 | − | 2.47696i | 0.0449963 | − | 0.0956220i | ||||
\(672\) | −2.28921 | + | 0.436690i | −0.0883081 | + | 0.0168457i | ||||
\(673\) | 18.8375 | + | 15.5837i | 0.726132 | + | 0.600709i | 0.925291 | − | 0.379258i | \(-0.123821\pi\) |
−0.199158 | + | 0.979967i | \(0.563821\pi\) | |||||||
\(674\) | 0.546743 | + | 1.68270i | 0.0210597 | + | 0.0648152i | ||||
\(675\) | 27.6496 | − | 2.20385i | 1.06423 | − | 0.0848261i | ||||
\(676\) | 5.85484 | − | 18.0193i | 0.225186 | − | 0.693052i | ||||
\(677\) | 14.4619 | − | 9.17780i | 0.555816 | − | 0.352732i | −0.228062 | − | 0.973647i | \(-0.573239\pi\) |
0.783878 | + | 0.620915i | \(0.213239\pi\) | |||||||
\(678\) | 0.698555 | + | 1.27067i | 0.0268278 | + | 0.0487997i | ||||
\(679\) | 1.82252 | + | 9.55398i | 0.0699419 | + | 0.366648i | ||||
\(680\) | 0.582762 | + | 0.788174i | 0.0223479 | + | 0.0302251i | ||||
\(681\) | 16.8557 | − | 15.8286i | 0.645912 | − | 0.606552i | ||||
\(682\) | 0.0748011i | 0.00286428i | ||||||||
\(683\) | 9.52944 | + | 10.1478i | 0.364634 | + | 0.388296i | 0.884956 | − | 0.465674i | \(-0.154188\pi\) |
−0.520322 | + | 0.853970i | \(0.674188\pi\) | |||||||
\(684\) | 11.4347 | − | 18.0182i | 0.437217 | − | 0.688944i | ||||
\(685\) | 47.5899 | − | 6.41631i | 1.81832 | − | 0.245154i | ||||
\(686\) | 0.948504 | + | 0.375539i | 0.0362141 | + | 0.0143382i | ||||
\(687\) | 27.2054 | − | 1.71162i | 1.03795 | − | 0.0653023i | ||||
\(688\) | −47.2986 | + | 2.97578i | −1.80324 | + | 0.113450i | ||||
\(689\) | 3.22548 | + | 1.27706i | 0.122881 | + | 0.0486520i | ||||
\(690\) | 0.202173 | − | 1.11013i | 0.00769659 | − | 0.0422619i | ||||
\(691\) | −9.60998 | + | 15.1429i | −0.365581 | + | 0.576063i | −0.976470 | − | 0.215653i | \(-0.930812\pi\) |
0.610889 | + | 0.791716i | \(0.290812\pi\) | |||||||
\(692\) | 21.7917 | + | 23.2058i | 0.828397 | + | 0.882153i | ||||
\(693\) | 1.00374i | 0.0381290i | ||||||||
\(694\) | 0.872713 | − | 0.819532i | 0.0331277 | − | 0.0311090i | ||||
\(695\) | 0.0672404 | + | 8.04955i | 0.00255057 | + | 0.305337i | ||||
\(696\) | −0.325384 | − | 1.70572i | −0.0123336 | − | 0.0646553i | ||||
\(697\) | −6.93625 | − | 12.6170i | −0.262729 | − | 0.477902i | ||||
\(698\) | 0.638342 | − | 0.405104i | 0.0241616 | − | 0.0153334i | ||||
\(699\) | −2.03084 | + | 6.25029i | −0.0768135 | + | 0.236408i | ||||
\(700\) | −16.3788 | − | 21.7692i | −0.619060 | − | 0.822799i | ||||
\(701\) | 9.30595 | + | 28.6408i | 0.351481 | + | 1.08175i | 0.958022 | + | 0.286695i | \(0.0925565\pi\) |
−0.606541 | + | 0.795052i | \(0.707444\pi\) | |||||||
\(702\) | 0.456868 | + | 0.377954i | 0.0172434 | + | 0.0142650i | ||||
\(703\) | 24.8111 | − | 4.73297i | 0.935769 | − | 0.178507i | ||||
\(704\) | 0.863800 | − | 1.83567i | 0.0325557 | − | 0.0691843i | ||||
\(705\) | 5.67907 | − | 2.73054i | 0.213886 | − | 0.102838i | ||||
\(706\) | 0.245762 | − | 1.28833i | 0.00924937 | − | 0.0484869i | ||||
\(707\) | 25.9064 | − | 8.41750i | 0.974310 | − | 0.316573i | ||||
\(708\) | −20.3989 | + | 9.59898i | −0.766637 | + | 0.360752i | ||||
\(709\) | −12.4238 | + | 4.91893i | −0.466585 | + | 0.184734i | −0.589641 | − | 0.807666i | \(-0.700731\pi\) |
0.123056 | + | 0.992400i | \(0.460731\pi\) | |||||||
\(710\) | 0.304164 | + | 0.280885i | 0.0114151 | + | 0.0105414i | ||||
\(711\) | 4.32914 | − | 1.11153i | 0.162355 | − | 0.0416857i | ||||
\(712\) | 0.0699399 | + | 0.176648i | 0.00262111 | + | 0.00662016i | ||||
\(713\) | 9.00967 | − | 35.0903i | 0.337415 | − | 1.31414i | ||||
\(714\) | 0.200529 | + | 0.315983i | 0.00750461 | + | 0.0118254i | ||||
\(715\) | 1.04150 | + | 0.258158i | 0.0389499 | + | 0.00965458i | ||||
\(716\) | −1.71542 | − | 27.2658i | −0.0641082 | − | 1.01897i | ||||
\(717\) | 1.59048 | − | 2.89308i | 0.0593976 | − | 0.108044i | ||||
\(718\) | −1.01134 | − | 0.328604i | −0.0377428 | − | 0.0122634i | ||||
\(719\) | −24.6842 | + | 3.11834i | −0.920565 | + | 0.116294i | −0.571311 | − | 0.820734i | \(-0.693565\pi\) |
−0.349254 | + | 0.937028i | \(0.613565\pi\) | |||||||
\(720\) | 11.6131 | + | 5.34668i | 0.432794 | + | 0.199259i | ||||
\(721\) | 20.1071 | + | 18.8818i | 0.748827 | + | 0.703195i | ||||
\(722\) | 1.41984 | − | 1.51197i | 0.0528408 | − | 0.0562697i | ||||
\(723\) | −3.85968 | − | 15.0325i | −0.143543 | − | 0.559063i | ||||
\(724\) | 26.0227 | − | 18.9066i | 0.967126 | − | 0.702658i | ||||
\(725\) | 24.3374 | − | 18.3111i | 0.903870 | − | 0.680057i | ||||
\(726\) | 0.630964 | + | 0.458422i | 0.0234173 | + | 0.0170136i | ||||
\(727\) | 6.54769 | − | 16.5376i | 0.242840 | − | 0.613344i | −0.756325 | − | 0.654196i | \(-0.773007\pi\) |
0.999165 | + | 0.0408517i | \(0.0130071\pi\) | |||||||
\(728\) | 0.146099 | − | 1.15649i | 0.00541478 | − | 0.0428624i | ||||
\(729\) | −21.5437 | + | 11.8437i | −0.797914 | + | 0.438657i | ||||
\(730\) | 0.222375 | − | 0.575659i | 0.00823049 | − | 0.0213061i | ||||
\(731\) | 9.74764 | + | 20.7148i | 0.360529 | + | 0.766164i | ||||
\(732\) | −15.6880 | − | 21.5926i | −0.579844 | − | 0.798086i | ||||
\(733\) | −0.269893 | − | 2.13642i | −0.00996873 | − | 0.0789106i | 0.986345 | − | 0.164689i | \(-0.0526622\pi\) |
−0.996314 | + | 0.0857788i | \(0.972662\pi\) | |||||||
\(734\) | −0.325942 | − | 0.0836878i | −0.0120308 | − | 0.00308897i | ||||
\(735\) | −0.676737 | − | 1.04693i | −0.0249618 | − | 0.0386167i | ||||
\(736\) | 3.08018 | − | 3.72330i | 0.113537 | − | 0.137243i | ||||
\(737\) | 1.76704 | − | 1.46182i | 0.0650897 | − | 0.0538469i | ||||
\(738\) | 0.517995 | + | 0.328729i | 0.0190676 | + | 0.0121007i | ||||
\(739\) | −2.01225 | + | 31.9838i | −0.0740218 | + | 1.17654i | 0.769211 | + | 0.638995i | \(0.220649\pi\) |
−0.843233 | + | 0.537548i | \(0.819351\pi\) | |||||||
\(740\) | 4.80398 | + | 14.3754i | 0.176598 | + | 0.528451i | ||||
\(741\) | −11.1129 | − | 13.4332i | −0.408244 | − | 0.493482i | ||||
\(742\) | −0.283053 | − | 0.0539953i | −0.0103912 | − | 0.00198223i | ||||
\(743\) | 12.4284 | − | 17.1063i | 0.455955 | − | 0.627568i | −0.517709 | − | 0.855557i | \(-0.673215\pi\) |
0.973664 | + | 0.227989i | \(0.0732149\pi\) | |||||||
\(744\) | 1.27921 | + | 0.703253i | 0.0468982 | + | 0.0257825i | ||||
\(745\) | −47.8740 | + | 3.41368i | −1.75397 | + | 0.125067i | ||||
\(746\) | −1.11338 | − | 0.140652i | −0.0407636 | − | 0.00514964i | ||||
\(747\) | −2.13036 | − | 1.00247i | −0.0779459 | − | 0.0366785i | ||||
\(748\) | −0.981302 | − | 0.0617383i | −0.0358799 | − | 0.00225737i | ||||
\(749\) | −1.08346 | −0.0395889 | ||||||||
\(750\) | 0.0199816 | + | 0.797205i | 0.000729626 | + | 0.0291098i | ||||
\(751\) | 31.1671 | 1.13730 | 0.568651 | − | 0.822579i | \(-0.307465\pi\) | ||||
0.568651 | + | 0.822579i | \(0.307465\pi\) | |||||||
\(752\) | 8.95296 | + | 0.563272i | 0.326481 | + | 0.0205404i | ||||
\(753\) | −29.2582 | − | 13.7679i | −1.06623 | − | 0.501728i | ||||
\(754\) | 0.645938 | + | 0.0816010i | 0.0235237 | + | 0.00297173i | ||||
\(755\) | 4.31685 | − | 17.4157i | 0.157106 | − | 0.633822i | ||||
\(756\) | 26.4868 | + | 14.5613i | 0.963317 | + | 0.529588i | ||||
\(757\) | 26.3172 | − | 36.2225i | 0.956515 | − | 1.31653i | 0.00794271 | − | 0.999968i | \(-0.497472\pi\) |
0.948572 | − | 0.316561i | \(-0.102528\pi\) | |||||||
\(758\) | 0.940087 | + | 0.179331i | 0.0341455 | + | 0.00651360i | ||||
\(759\) | 1.44413 | + | 1.74566i | 0.0524187 | + | 0.0633634i | ||||
\(760\) | 3.08713 | + | 2.20377i | 0.111982 | + | 0.0799391i | ||||
\(761\) | 0.651169 | − | 10.3500i | 0.0236049 | − | 0.375189i | −0.968435 | − | 0.249266i | \(-0.919811\pi\) |
0.992040 | − | 0.125923i | \(-0.0401892\pi\) | |||||||
\(762\) | 0.678872 | + | 0.430825i | 0.0245929 | + | 0.0156072i | ||||
\(763\) | −3.67387 | + | 3.03929i | −0.133003 | + | 0.110030i | ||||
\(764\) | −5.30166 | + | 6.40860i | −0.191807 | + | 0.231855i | ||||
\(765\) | 0.336290 | − | 6.16676i | 0.0121586 | − | 0.222960i | ||||
\(766\) | 0.814331 | + | 0.209085i | 0.0294230 | + | 0.00755454i | ||||
\(767\) | −2.12056 | − | 16.7859i | −0.0765688 | − | 0.606105i | ||||
\(768\) | −11.5690 | − | 15.9234i | −0.417462 | − | 0.574587i | ||||
\(769\) | 9.18949 | + | 19.5287i | 0.331381 | + | 0.704221i | 0.999195 | − | 0.0401070i | \(-0.0127699\pi\) |
−0.667814 | + | 0.744328i | \(0.732770\pi\) | |||||||
\(770\) | −0.0889973 | − | 0.00485326i | −0.00320724 | − | 0.000174899i | ||||
\(771\) | −2.05438 | + | 1.12940i | −0.0739866 | + | 0.0406745i | ||||
\(772\) | 1.61942 | − | 12.8190i | 0.0582840 | − | 0.461366i | ||||
\(773\) | 8.22459 | − | 20.7729i | 0.295818 | − | 0.747151i | −0.703517 | − | 0.710679i | \(-0.748388\pi\) |
0.999335 | − | 0.0364720i | \(-0.0116120\pi\) | |||||||
\(774\) | −0.789200 | − | 0.573387i | −0.0283672 | − | 0.0206100i | ||||
\(775\) | −1.18056 | + | 25.5762i | −0.0424068 | + | 0.918725i | ||||
\(776\) | 0.657416 | − | 0.477641i | 0.0235999 | − | 0.0171463i | ||||
\(777\) | 2.88059 | + | 11.2192i | 0.103341 | + | 0.402485i | ||||
\(778\) | −0.542567 | + | 0.577775i | −0.0194520 | + | 0.0207142i | ||||
\(779\) | −40.6134 | − | 38.1385i | −1.45513 | − | 1.36645i | ||||
\(780\) | 7.09757 | − | 7.68580i | 0.254134 | − | 0.275196i | ||||
\(781\) | −0.824713 | + | 0.104185i | −0.0295105 | + | 0.00372805i | ||||
\(782\) | −0.738006 | − | 0.239793i | −0.0263911 | − | 0.00857497i | ||||
\(783\) | −16.2791 | + | 29.6116i | −0.581768 | + | 1.05823i | ||||
\(784\) | −0.111433 | − | 1.77117i | −0.00397974 | − | 0.0632562i | ||||
\(785\) | 19.8517 | − | 8.05230i | 0.708537 | − | 0.287399i | ||||
\(786\) | −0.237624 | − | 0.374435i | −0.00847575 | − | 0.0133556i | ||||
\(787\) | −4.04495 | + | 15.7541i | −0.144187 | + | 0.561572i | 0.854898 | + | 0.518797i | \(0.173620\pi\) |
−0.999085 | + | 0.0427749i | \(0.986380\pi\) | |||||||
\(788\) | 14.0571 | + | 35.5043i | 0.500765 | + | 1.26479i | ||||
\(789\) | 19.5252 | − | 5.01321i | 0.695114 | − | 0.178475i | ||||
\(790\) | 0.0776226 | + | 0.389220i | 0.00276169 | + | 0.0138478i | ||||
\(791\) | −51.5774 | + | 20.4210i | −1.83388 | + | 0.726086i | ||||
\(792\) | 0.0758795 | − | 0.0357062i | 0.00269626 | − | 0.00126876i | ||||
\(793\) | 19.0501 | − | 6.18975i | 0.676488 | − | 0.219804i | ||||
\(794\) | 0.327790 | − | 1.71834i | 0.0116328 | − | 0.0609814i | ||||
\(795\) | −3.57495 | − | 3.74377i | −0.126790 | − | 0.132778i | ||||
\(796\) | −16.5386 | + | 35.1463i | −0.586194 | + | 1.24573i | ||||
\(797\) | 10.4424 | − | 1.99200i | 0.369890 | − | 0.0705603i | 0.000914902 | − | 1.00000i | \(-0.499709\pi\) |
0.368975 | + | 0.929439i | \(0.379709\pi\) | |||||||
\(798\) | 1.11582 | + | 0.923087i | 0.0394996 | + | 0.0326769i | ||||
\(799\) | −1.33911 | − | 4.12135i | −0.0473742 | − | 0.145803i | ||||
\(800\) | −1.59498 | + | 3.01969i | −0.0563912 | + | 0.106762i | ||||
\(801\) | 0.369906 | − | 1.13845i | 0.0130700 | − | 0.0402253i | ||||
\(802\) | 1.52871 | − | 0.970146i | 0.0539805 | − | 0.0342570i | ||||
\(803\) | 0.596917 | + | 1.08579i | 0.0210647 | + | 0.0383166i | ||||
\(804\) | −4.18974 | − | 21.9634i | −0.147761 | − | 0.774588i | ||||
\(805\) | 41.1654 | + | 12.9963i | 1.45089 | + | 0.458060i | ||||
\(806\) | −0.398983 | + | 0.374670i | −0.0140536 | + | 0.0131972i | ||||
\(807\) | 34.2072i | 1.20415i | ||||||||
\(808\) | −1.55790 | − | 1.65900i | −0.0548069 | − | 0.0583634i | ||||
\(809\) | −2.17510 | + | 3.42741i | −0.0764725 | + | 0.120501i | −0.880412 | − | 0.474210i | \(-0.842734\pi\) |
0.803939 | + | 0.594711i | \(0.202734\pi\) | |||||||
\(810\) | −0.145226 | − | 0.302047i | −0.00510273 | − | 0.0106128i | ||||
\(811\) | 26.1503 | + | 10.3536i | 0.918260 | + | 0.363565i | 0.779241 | − | 0.626725i | \(-0.215605\pi\) |
0.139019 | + | 0.990290i | \(0.455605\pi\) | |||||||
\(812\) | 33.1233 | − | 2.08394i | 1.16240 | − | 0.0731321i | ||||
\(813\) | −14.1791 | + | 0.892072i | −0.497282 | + | 0.0312863i | ||||
\(814\) | 0.0461063 | + | 0.0182548i | 0.00161603 | + | 0.000639830i | ||||
\(815\) | −6.92703 | − | 3.73316i | −0.242643 | − | 0.130767i | ||||
\(816\) | −5.12826 | + | 8.08084i | −0.179525 | + | 0.282886i | ||||
\(817\) | 60.6428 | + | 64.5780i | 2.12162 | + | 2.25930i | ||||
\(818\) | − | 0.445746i | − | 0.0155851i | ||||||
\(819\) | −5.35387 | + | 5.02762i | −0.187079 | + | 0.175679i | ||||
\(820\) | 19.4242 | − | 27.2103i | 0.678324 | − | 0.950224i | ||||
\(821\) | 1.96972 | + | 10.3256i | 0.0687437 | + | 0.360367i | 0.999992 | − | 0.00401841i | \(-0.00127910\pi\) |
−0.931248 | + | 0.364385i | \(0.881279\pi\) | |||||||
\(822\) | −0.737935 | − | 1.34230i | −0.0257384 | − | 0.0468180i | ||||
\(823\) | −0.332920 | + | 0.211278i | −0.0116049 | + | 0.00736467i | −0.541617 | − | 0.840626i | \(-0.682188\pi\) |
0.530012 | + | 0.847990i | \(0.322188\pi\) | |||||||
\(824\) | 0.712130 | − | 2.19171i | 0.0248082 | − | 0.0763519i | ||||
\(825\) | −1.25057 | − | 0.999848i | −0.0435393 | − | 0.0348102i | ||||
\(826\) | 0.434290 | + | 1.33661i | 0.0151109 | + | 0.0465065i | ||||
\(827\) | −16.0320 | − | 13.2628i | −0.557488 | − | 0.461194i | 0.315507 | − | 0.948923i | \(-0.397825\pi\) |
−0.872995 | + | 0.487729i | \(0.837825\pi\) | |||||||
\(828\) | −19.9322 | + | 3.80228i | −0.692693 | + | 0.132138i | ||||
\(829\) | 13.1281 | − | 27.8987i | 0.455959 | − | 0.968962i | −0.536213 | − | 0.844083i | \(-0.680146\pi\) |
0.992172 | − | 0.124879i | \(-0.0398543\pi\) | |||||||
\(830\) | 0.0991854 | − | 0.184043i | 0.00344278 | − | 0.00638821i | ||||
\(831\) | 4.81288 | − | 25.2300i | 0.166957 | − | 0.875220i | ||||
\(832\) | 14.1180 | − | 4.58720i | 0.489452 | − | 0.159033i | ||||
\(833\) | −0.775698 | + | 0.365016i | −0.0268763 | + | 0.0126470i | ||||
\(834\) | 0.238743 | − | 0.0945252i | 0.00826701 | − | 0.00327314i | ||||
\(835\) | 22.7095 | − | 49.3256i | 0.785896 | − | 1.70698i | ||||
\(836\) | −3.68518 | + | 0.946193i | −0.127455 | + | 0.0327248i | ||||
\(837\) | −10.4572 | − | 26.4120i | −0.361455 | − | 0.912932i | ||||
\(838\) | −0.0444389 | + | 0.173078i | −0.00153512 | + | 0.00597888i | ||||
\(839\) | −7.80904 | − | 12.3051i | −0.269598 | − | 0.424819i | 0.682374 | − | 0.731003i | \(-0.260948\pi\) |
−0.951972 | + | 0.306185i | \(0.900948\pi\) | |||||||
\(840\) | −0.919718 | + | 1.47636i | −0.0317333 | + | 0.0509392i | ||||
\(841\) | 0.508872 | + | 8.08830i | 0.0175473 | + | 0.278907i | ||||
\(842\) | −0.775750 | + | 1.41108i | −0.0267341 | + | 0.0486292i | ||||
\(843\) | −0.0492712 | − | 0.0160092i | −0.00169699 | − | 0.000551386i | ||||
\(844\) | 14.5388 | − | 1.83667i | 0.500445 | − | 0.0632210i | ||||
\(845\) | −10.3766 | − | 18.5070i | −0.356965 | − | 0.636661i | ||||
\(846\) | 0.134603 | + | 0.126401i | 0.00462776 | + | 0.00434576i | ||||
\(847\) | −20.4247 | + | 21.7501i | −0.701801 | + | 0.747343i | ||||
\(848\) | −1.83265 | − | 7.13771i | −0.0629336 | − | 0.245110i | ||||
\(849\) | −8.84415 | + | 6.42565i | −0.303530 | + | 0.220528i | ||||
\(850\) | 0.545153 | + | 0.0596347i | 0.0186986 | + | 0.00204545i | ||||
\(851\) | −19.4304 | − | 14.1170i | −0.666066 | − | 0.483925i | ||||
\(852\) | −2.98353 | + | 7.53553i | −0.102214 | + | 0.258163i | ||||
\(853\) | −5.01617 | + | 39.7071i | −0.171750 | + | 1.35954i | 0.636760 | + | 0.771062i | \(0.280274\pi\) |
−0.808510 | + | 0.588482i | \(0.799726\pi\) | |||||||
\(854\) | −1.45801 | + | 0.801548i | −0.0498921 | + | 0.0274284i | ||||
\(855\) | −6.13635 | − | 23.0968i | −0.209859 | − | 0.789895i | ||||
\(856\) | 0.0385422 | + | 0.0819062i | 0.00131734 | + | 0.00279950i | ||||
\(857\) | 14.0844 | + | 19.3856i | 0.481115 | + | 0.662199i | 0.978719 | − | 0.205206i | \(-0.0657865\pi\) |
−0.497603 | + | 0.867405i | \(0.665786\pi\) | |||||||
\(858\) | −0.00428983 | − | 0.0339575i | −0.000146452 | − | 0.00115929i | ||||
\(859\) | −7.29303 | − | 1.87253i | −0.248835 | − | 0.0638900i | 0.122212 | − | 0.992504i | \(-0.461001\pi\) |
−0.371047 | + | 0.928614i | \(0.621001\pi\) | |||||||
\(860\) | −33.5416 | + | 41.2414i | −1.14376 | + | 1.40632i | ||||
\(861\) | 16.2856 | − | 19.6859i | 0.555013 | − | 0.670895i | ||||
\(862\) | −1.34840 | + | 1.11549i | −0.0459267 | + | 0.0379938i | ||||
\(863\) | −11.9363 | − | 7.57498i | −0.406315 | − | 0.257855i | 0.316927 | − | 0.948450i | \(-0.397349\pi\) |
−0.723242 | + | 0.690595i | \(0.757349\pi\) | |||||||
\(864\) | 0.237911 | − | 3.78148i | 0.00809388 | − | 0.128649i | ||||
\(865\) | 35.6480 | − | 0.297779i | 1.21207 | − | 0.0101248i | ||||
\(866\) | 0.844151 | + | 1.02040i | 0.0286854 | + | 0.0346747i | ||||
\(867\) | −16.3396 | − | 3.11694i | −0.554922 | − | 0.105857i | ||||
\(868\) | −16.3994 | + | 22.5718i | −0.556631 | + | 0.766136i | ||||
\(869\) | −0.698298 | − | 0.383893i | −0.0236881 | − | 0.0130227i | ||||
\(870\) | −0.824595 | − | 0.513692i | −0.0279564 | − | 0.0174158i | ||||
\(871\) | 16.6481 | + | 2.10315i | 0.564100 | + | 0.0712624i | ||||
\(872\) | 0.360451 | + | 0.169615i | 0.0122064 | + | 0.00574390i | ||||
\(873\) | −5.10979 | − | 0.321481i | −0.172940 | − | 0.0108805i | ||||
\(874\) | −3.00272 | −0.101569 | ||||||||
\(875\) | −30.3536 | − | 3.06405i | −1.02614 | − | 0.103584i | ||||
\(876\) | 12.0805 | 0.408161 | ||||||||
\(877\) | −22.3088 | − | 1.40355i | −0.753313 | − | 0.0473944i | −0.318509 | − | 0.947920i | \(-0.603182\pi\) |
−0.434804 | + | 0.900525i | \(0.643182\pi\) | |||||||
\(878\) | −1.18348 | − | 0.556906i | −0.0399407 | − | 0.0187947i | ||||
\(879\) | 12.5305 | + | 1.58297i | 0.422643 | + | 0.0533922i | ||||
\(880\) | −0.856764 | − | 2.11222i | −0.0288815 | − | 0.0712029i | ||||
\(881\) | 27.4197 | + | 15.0741i | 0.923793 | + | 0.507860i | 0.871294 | − | 0.490761i | \(-0.163281\pi\) |
0.0524991 | + | 0.998621i | \(0.483281\pi\) | |||||||
\(882\) | 0.0214714 | − | 0.0295528i | 0.000722979 | − | 0.000995096i | ||||
\(883\) | −37.8445 | − | 7.21922i | −1.27357 | − | 0.242946i | −0.494109 | − | 0.869400i | \(-0.664506\pi\) |
−0.779459 | + | 0.626454i | \(0.784506\pi\) | |||||||
\(884\) | −4.58591 | − | 5.54342i | −0.154241 | − | 0.186445i | ||||
\(885\) | −7.60079 | + | 24.0753i | −0.255498 | + | 0.809281i | ||||
\(886\) | −0.136828 | + | 2.17482i | −0.00459682 | + | 0.0730643i | ||||
\(887\) | −25.1943 | − | 15.9888i | −0.845942 | − | 0.536851i | 0.0407729 | − | 0.999168i | \(-0.487018\pi\) |
−0.886714 | + | 0.462318i | \(0.847018\pi\) | |||||||
\(888\) | 0.745659 | − | 0.616862i | 0.0250227 | − | 0.0207005i | ||||
\(889\) | −19.6070 | + | 23.7008i | −0.657597 | + | 0.794898i | ||||
\(890\) | 0.0991530 | + | 0.0383025i | 0.00332362 | + | 0.00128390i | ||||
\(891\) | 0.651766 | + | 0.167345i | 0.0218350 | + | 0.00560627i | ||||
\(892\) | 1.04399 | + | 8.26404i | 0.0349554 | + | 0.276700i | ||||
\(893\) | −9.85627 | − | 13.5660i | −0.329827 | − | 0.453969i | ||||
\(894\) | 0.651856 | + | 1.38526i | 0.0218013 | + | 0.0463302i | ||||
\(895\) | −23.7353 | − | 19.3039i | −0.793383 | − | 0.645257i | ||||
\(896\) | −4.34692 | + | 2.38974i | −0.145220 | + | 0.0798356i | ||||
\(897\) | −2.07770 | + | 16.4467i | −0.0693723 | + | 0.549139i | ||||
\(898\) | 0.340250 | − | 0.859372i | 0.0113543 | − | 0.0286776i | ||||
\(899\) | −25.2347 | − | 18.3341i | −0.841624 | − | 0.611476i | ||||
\(900\) | 13.2434 | − | 5.50111i | 0.441448 | − | 0.183370i | ||||
\(901\) | −2.87997 | + | 2.09242i | −0.0959457 | + | 0.0697087i | ||||
\(902\) | −0.0272015 | − | 0.105943i | −0.000905710 | − | 0.00352751i | ||||
\(903\) | −27.8096 | + | 29.6142i | −0.925445 | + | 0.985499i | ||||
\(904\) | 3.37852 | + | 3.17264i | 0.112368 | + | 0.105521i | ||||
\(905\) | 4.21597 | − | 35.7735i | 0.140144 | − | 1.18915i | ||||
\(906\) | −0.567828 | + | 0.0717333i | −0.0188648 | + | 0.00238318i | ||||
\(907\) | −0.812643 | − | 0.264044i | −0.0269834 | − | 0.00876743i | 0.295494 | − | 0.955345i | \(-0.404516\pi\) |
−0.322478 | + | 0.946577i | \(0.604516\pi\) | |||||||
\(908\) | 17.7878 | − | 32.3559i | 0.590308 | − | 1.07377i | ||||
\(909\) | 0.900347 | + | 14.3106i | 0.0298626 | + | 0.474653i | ||||
\(910\) | −0.419890 | − | 0.499013i | −0.0139192 | − | 0.0165421i | ||||
\(911\) | 8.19920 | + | 12.9199i | 0.271651 | + | 0.428054i | 0.952577 | − | 0.304299i | \(-0.0984221\pi\) |
−0.680925 | + | 0.732353i | \(0.738422\pi\) | |||||||
\(912\) | −9.21011 | + | 35.8710i | −0.304977 | + | 1.18781i | ||||
\(913\) | 0.154527 | + | 0.390290i | 0.00511408 | + | 0.0129167i | ||||
\(914\) | −2.01711 | + | 0.517905i | −0.0667199 | + | 0.0171308i | ||||
\(915\) | −29.6835 | − | 3.49825i | −0.981305 | − | 0.115648i | ||||
\(916\) | 40.4716 | − | 16.0238i | 1.33722 | − | 0.529442i | ||||
\(917\) | 15.3510 | − | 7.22363i | 0.506934 | − | 0.238545i | ||||
\(918\) | −0.578671 | + | 0.188022i | −0.0190990 | + | 0.00620564i | ||||
\(919\) | 2.68581 | − | 14.0795i | 0.0885968 | − | 0.464441i | −0.910145 | − | 0.414290i | \(-0.864030\pi\) |
0.998742 | − | 0.0501505i | \(-0.0159701\pi\) | |||||||
\(920\) | −0.481903 | − | 3.57428i | −0.0158879 | − | 0.117841i | ||||
\(921\) | 11.8467 | − | 25.1755i | 0.390361 | − | 0.829560i | ||||
\(922\) | 0.725906 | − | 0.138474i | 0.0239065 | − | 0.00456040i | ||||
\(923\) | −4.68660 | − | 3.87709i | −0.154261 | − | 0.127616i | ||||
\(924\) | −0.539162 | − | 1.65937i | −0.0177371 | − | 0.0545893i | ||||
\(925\) | 15.4767 | + | 6.96940i | 0.508870 | + | 0.229153i | ||||
\(926\) | 0.361965 | − | 1.11402i | 0.0118949 | − | 0.0366088i | ||||
\(927\) | −12.2593 | + | 7.78001i | −0.402649 | + | 0.255529i | ||||
\(928\) | −2.00430 | − | 3.64581i | −0.0657944 | − | 0.119680i | ||||
\(929\) | 5.22676 | + | 27.3996i | 0.171485 | + | 0.898953i | 0.959160 | + | 0.282863i | \(0.0912843\pi\) |
−0.787676 | + | 0.616090i | \(0.788716\pi\) | |||||||
\(930\) | 0.774597 | − | 0.258855i | 0.0254000 | − | 0.00848818i | ||||
\(931\) | −2.41823 | + | 2.27087i | −0.0792542 | + | 0.0744246i | ||||
\(932\) | 10.4943i | 0.343751i | ||||||||
\(933\) | −15.9326 | − | 16.9665i | −0.521609 | − | 0.555457i | ||||
\(934\) | −0.790318 | + | 1.24534i | −0.0258600 | + | 0.0407488i | ||||
\(935\) | −0.796335 | + | 0.760426i | −0.0260429 | + | 0.0248686i | ||||
\(936\) | 0.570525 | + | 0.225887i | 0.0186482 | + | 0.00738334i | ||||
\(937\) | −30.0222 | + | 1.88884i | −0.980782 | + | 0.0617056i | −0.545079 | − | 0.838385i | \(-0.683500\pi\) |
−0.435703 | + | 0.900090i | \(0.643500\pi\) | |||||||
\(938\) | −1.39110 | + | 0.0875208i | −0.0454211 | + | 0.00285766i | ||||
\(939\) | −4.39670 | − | 1.74078i | −0.143481 | − | 0.0568081i | ||||
\(940\) | 7.27729 | − | 6.94913i | 0.237359 | − | 0.226656i | ||||
\(941\) | −15.0224 | + | 23.6715i | −0.489716 | + | 0.771668i | −0.995872 | − | 0.0907737i | \(-0.971066\pi\) |
0.506156 | + | 0.862442i | \(0.331066\pi\) | |||||||
\(942\) | −0.467781 | − | 0.498136i | −0.0152411 | − | 0.0162302i | ||||
\(943\) | 52.9757i | 1.72513i | ||||||||
\(944\) | −26.1998 | + | 24.6033i | −0.852732 | + | 0.800769i | ||||
\(945\) | 32.1031 | − | 10.7282i | 1.04431 | − | 0.348989i | ||||
\(946\) | 0.0325894 | + | 0.170840i | 0.00105957 | + | 0.00555447i | ||||
\(947\) | −1.84657 | − | 3.35891i | −0.0600056 | − | 0.109150i | 0.844603 | − | 0.535393i | \(-0.179837\pi\) |
−0.904608 | + | 0.426244i | \(0.859837\pi\) | |||||||
\(948\) | −6.55980 | + | 4.16297i | −0.213052 | + | 0.135207i | ||||
\(949\) | −2.80161 | + | 8.62248i | −0.0909442 | + | 0.279898i | ||||
\(950\) | 2.07756 | − | 0.432406i | 0.0674051 | − | 0.0140291i | ||||
\(951\) | −3.84681 | − | 11.8392i | −0.124741 | − | 0.383914i | ||||
\(952\) | 0.921670 | + | 0.762472i | 0.0298715 | + | 0.0247118i | ||||
\(953\) | 22.1388 | − | 4.22320i | 0.717145 | − | 0.136803i | 0.184122 | − | 0.982903i | \(-0.441056\pi\) |
0.533023 | + | 0.846101i | \(0.321056\pi\) | |||||||
\(954\) | 0.0645847 | − | 0.137249i | 0.00209101 | − | 0.00444362i | ||||
\(955\) | 1.24453 | + | 9.23068i | 0.0402719 | + | 0.298698i | ||||
\(956\) | 0.987845 | − | 5.17846i | 0.0319492 | − | 0.167483i | ||||
\(957\) | 1.85513 | − | 0.602770i | 0.0599680 | − | 0.0194848i | ||||
\(958\) | −1.11489 | + | 0.524625i | −0.0360203 | + | 0.0169499i | ||||
\(959\) | 54.4850 | − | 21.5721i | 1.75941 | − | 0.696601i | ||||
\(960\) | −21.9983 | − | 2.59254i | −0.709993 | − | 0.0836739i | ||||
\(961\) | −4.62841 | + | 1.18837i | −0.149303 | + | 0.0383346i | ||||
\(962\) | 0.133571 | + | 0.337363i | 0.00430652 | + | 0.0108770i | ||||
\(963\) | 0.141837 | − | 0.552417i | 0.00457062 | − | 0.0178014i | ||||
\(964\) | −13.2793 | − | 20.9249i | −0.427698 | − | 0.673945i | ||||
\(965\) | −9.31603 | − | 11.0715i | −0.299893 | − | 0.356405i | ||||
\(966\) | −0.0864618 | − | 1.37427i | −0.00278186 | − | 0.0442165i | ||||
\(967\) | −14.3887 | + | 26.1729i | −0.462709 | + | 0.841664i | −0.999998 | − | 0.00173355i | \(-0.999448\pi\) |
0.537290 | + | 0.843398i | \(0.319448\pi\) | |||||||
\(968\) | 2.37080 | + | 0.770321i | 0.0762005 | + | 0.0247590i | ||||
\(969\) | 17.7491 | − | 2.24223i | 0.570184 | − | 0.0720310i | ||||
\(970\) | 0.0532110 | − | 0.451508i | 0.00170850 | − | 0.0144971i | ||||
\(971\) | −16.8991 | − | 15.8693i | −0.542318 | − | 0.509270i | 0.364267 | − | 0.931295i | \(-0.381320\pi\) |
−0.906584 | + | 0.422024i | \(0.861320\pi\) | |||||||
\(972\) | −18.2568 | + | 19.4415i | −0.585587 | + | 0.623587i | ||||
\(973\) | 2.44296 | + | 9.51471i | 0.0783178 | + | 0.305028i | ||||
\(974\) | 0.467655 | − | 0.339771i | 0.0149846 | − | 0.0108870i | ||||
\(975\) | −0.930854 | − | 11.6786i | −0.0298112 | − | 0.374013i | ||||
\(976\) | −34.4235 | − | 25.0101i | −1.10187 | − | 0.800554i | ||||
\(977\) | −20.5565 | + | 51.9198i | −0.657661 | + | 1.66106i | 0.0891445 | + | 0.996019i | \(0.471587\pi\) |
−0.746805 | + | 0.665043i | \(0.768413\pi\) | |||||||
\(978\) | −0.0314593 | + | 0.249026i | −0.00100596 | + | 0.00796297i | ||||
\(979\) | −0.187019 | + | 0.102814i | −0.00597715 | + | 0.00328597i | ||||
\(980\) | −1.54435 | − | 1.25602i | −0.0493325 | − | 0.0401220i | ||||
\(981\) | −1.06867 | − | 2.27104i | −0.0341200 | − | 0.0725087i | ||||
\(982\) | −0.683907 | − | 0.941318i | −0.0218244 | − | 0.0300387i | ||||
\(983\) | 4.61874 | + | 36.5611i | 0.147315 | + | 1.16612i | 0.876362 | + | 0.481653i | \(0.159964\pi\) |
−0.729047 | + | 0.684464i | \(0.760036\pi\) | |||||||
\(984\) | −2.06752 | − | 0.530849i | −0.0659101 | − | 0.0169228i | ||||
\(985\) | 39.8898 | + | 15.4093i | 1.27099 | + | 0.490982i | ||||
\(986\) | −0.425865 | + | 0.514783i | −0.0135623 | + | 0.0163940i | ||||
\(987\) | 5.92501 | − | 4.90160i | 0.188595 | − | 0.156020i | ||||
\(988\) | −23.5055 | − | 14.9171i | −0.747810 | − | 0.474575i | ||||
\(989\) | 5.28916 | − | 84.0687i | 0.168185 | − | 2.67323i | ||||
\(990\) | 0.0141251 | − | 0.0447410i | 0.000448927 | − | 0.00142196i | ||||
\(991\) | 2.09771 | + | 2.53570i | 0.0666360 | + | 0.0805490i | 0.802778 | − | 0.596278i | \(-0.203354\pi\) |
−0.736142 | + | 0.676827i | \(0.763354\pi\) | |||||||
\(992\) | 3.43552 | + | 0.655361i | 0.109078 | + | 0.0208077i | ||||
\(993\) | 4.63153 | − | 6.37476i | 0.146977 | − | 0.202297i | ||||
\(994\) | 0.442739 | + | 0.243398i | 0.0140428 | + | 0.00772012i | ||||
\(995\) | 16.3502 | + | 40.3088i | 0.518336 | + | 1.27788i | ||||
\(996\) | 4.06036 | + | 0.512943i | 0.128657 | + | 0.0162532i | ||||
\(997\) | 28.5582 | + | 13.4385i | 0.904448 | + | 0.425601i | 0.821011 | − | 0.570912i | \(-0.193410\pi\) |
0.0834369 | + | 0.996513i | \(0.473410\pi\) | |||||||
\(998\) | 1.46702 | + | 0.0922974i | 0.0464379 | + | 0.00292162i | ||||
\(999\) | −18.8320 | −0.595817 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 125.2.h.a.4.7 | ✓ | 240 | |
5.2 | odd | 4 | 625.2.g.b.226.13 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.226.12 | 480 | |||
5.4 | even | 2 | 625.2.h.a.399.6 | 240 | |||
125.17 | odd | 100 | 625.2.g.b.401.13 | 480 | |||
125.31 | even | 25 | 625.2.h.a.224.6 | 240 | |||
125.94 | even | 50 | inner | 125.2.h.a.94.7 | yes | 240 | |
125.108 | odd | 100 | 625.2.g.b.401.12 | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.4.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
125.2.h.a.94.7 | yes | 240 | 125.94 | even | 50 | inner | |
625.2.g.b.226.12 | 480 | 5.3 | odd | 4 | |||
625.2.g.b.226.13 | 480 | 5.2 | odd | 4 | |||
625.2.g.b.401.12 | 480 | 125.108 | odd | 100 | |||
625.2.g.b.401.13 | 480 | 125.17 | odd | 100 | |||
625.2.h.a.224.6 | 240 | 125.31 | even | 25 | |||
625.2.h.a.399.6 | 240 | 5.4 | even | 2 |